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Finding the Fourth Proportional to 315,207,318.80, 472,810,978.20 and 297,350,901.20

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Solution

The fourth proportional to 315,207,318.80, 472,810,978.20 and 297,350,901.20 is: 446,026,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,207,318.80 : 472,810,978.20 = 297,350,901.20 : x
  2. Step 2: Convert to fraction form
    315,207,318.80/472,810,978.20 = 297,350,901.20/x
  3. Step 3: Cross multiply
    315,207,318.80x = 472,810,978.20 × 297,350,901.20
  4. Step 4: Simplify right side
    315,207,318.80x = 140,590,770,465,023,552
  5. Step 5: Solve for x
    x = 140,590,770,465,023,552/315,207,318.80
  6. Step 6: Final answer
    x = 446,026,351.80

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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.