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Finding the Fourth Proportional to 819,397,314.10, 1,229,095,971.15 and 724,694,527.90

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Solution

The fourth proportional to 819,397,314.10, 1,229,095,971.15 and 724,694,527.90 is: 1,087,041,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,397,314.10 : 1,229,095,971.15 = 724,694,527.90 : x
  2. Step 2: Convert to fraction form
    819,397,314.10/1,229,095,971.15 = 724,694,527.90/x
  3. Step 3: Cross multiply
    819,397,314.10x = 1,229,095,971.15 × 724,694,527.90
  4. Step 4: Simplify right side
    819,397,314.10x = 890,719,124,556,341,248
  5. Step 5: Solve for x
    x = 890,719,124,556,341,248/819,397,314.10
  6. Step 6: Final answer
    x = 1,087,041,791.85

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.