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Finding the Fourth Proportional to 475,092,003.80, 712,638,005.70 and 242,639,710.40

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Solution

The fourth proportional to 475,092,003.80, 712,638,005.70 and 242,639,710.40 is: 363,959,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,092,003.80 : 712,638,005.70 = 242,639,710.40 : x
  2. Step 2: Convert to fraction form
    475,092,003.80/712,638,005.70 = 242,639,710.40/x
  3. Step 3: Cross multiply
    475,092,003.80x = 712,638,005.70 × 242,639,710.40
  4. Step 4: Simplify right side
    475,092,003.80x = 172,914,279,323,081,568
  5. Step 5: Solve for x
    x = 172,914,279,323,081,568/475,092,003.80
  6. Step 6: Final answer
    x = 363,959,565.60

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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.