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Finding the Fourth Proportional to 391,445.80, 587,168.70 and 142,095.40

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Solution

The fourth proportional to 391,445.80, 587,168.70 and 142,095.40 is: 213,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,445.80 : 587,168.70 = 142,095.40 : x
  2. Step 2: Convert to fraction form
    391,445.80/587,168.70 = 142,095.40/x
  3. Step 3: Cross multiply
    391,445.80x = 587,168.70 × 142,095.40
  4. Step 4: Simplify right side
    391,445.80x = 83,433,971,293.98
  5. Step 5: Solve for x
    x = 83,433,971,293.98/391,445.80
  6. Step 6: Final answer
    x = 213,143.10

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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.