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Finding the Fourth Proportional to 417,346,430.80, 625,770,814.20 and 255,904,229.20

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Solution

The fourth proportional to 417,346,430.80, 625,770,814.20 and 255,904,229.20 is: 383,703,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,346,430.80 : 625,770,814.20 = 255,904,229.20 : x
  2. Step 2: Convert to fraction form
    417,346,430.80/625,770,814.20 = 255,904,229.20/x
  3. Step 3: Cross multiply
    417,346,430.80x = 625,770,814.20 × 255,904,229.20
  4. Step 4: Simplify right side
    417,346,430.80x = 160,137,397,863,707,424
  5. Step 5: Solve for x
    x = 160,137,397,863,707,424/417,346,430.80
  6. Step 6: Final answer
    x = 383,703,767.53

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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.