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Finding the Fourth Proportional to 414,902,807.90, 622,354,211.85 and 391,094,251.10

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Solution

The fourth proportional to 414,902,807.90, 622,354,211.85 and 391,094,251.10 is: 586,641,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,902,807.90 : 622,354,211.85 = 391,094,251.10 : x
  2. Step 2: Convert to fraction form
    414,902,807.90/622,354,211.85 = 391,094,251.10/x
  3. Step 3: Cross multiply
    414,902,807.90x = 622,354,211.85 × 391,094,251.10
  4. Step 4: Simplify right side
    414,902,807.90x = 243,399,154,402,406,528
  5. Step 5: Solve for x
    x = 243,399,154,402,406,528/414,902,807.90
  6. Step 6: Final answer
    x = 586,641,376.65

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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.