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Finding the Fourth Proportional to 315,521,755.20, 472,386,837.60 and 315,521,755.20

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Solution

The fourth proportional to 315,521,755.20, 472,386,837.60 and 315,521,755.20 is: 472,386,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,521,755.20 : 472,386,837.60 = 315,521,755.20 : x
  2. Step 2: Convert to fraction form
    315,521,755.20/472,386,837.60 = 315,521,755.20/x
  3. Step 3: Cross multiply
    315,521,755.20x = 472,386,837.60 × 315,521,755.20
  4. Step 4: Simplify right side
    315,521,755.20x = 149,048,324,132,929,344
  5. Step 5: Solve for x
    x = 149,048,324,132,929,344/315,521,755.20
  6. Step 6: Final answer
    x = 472,386,837.60

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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.