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Finding the Fourth Proportional to 206,784,012.80, 310,176,019.20 and 168,520,260.80

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Solution

The fourth proportional to 206,784,012.80, 310,176,019.20 and 168,520,260.80 is: 252,780,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,784,012.80 : 310,176,019.20 = 168,520,260.80 : x
  2. Step 2: Convert to fraction form
    206,784,012.80/310,176,019.20 = 168,520,260.80/x
  3. Step 3: Cross multiply
    206,784,012.80x = 310,176,019.20 × 168,520,260.80
  4. Step 4: Simplify right side
    206,784,012.80x = 52,270,943,649,489,808
  5. Step 5: Solve for x
    x = 52,270,943,649,489,808/206,784,012.80
  6. Step 6: Final answer
    x = 252,780,391.20

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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.