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Finding the Fourth Proportional to 522,729,843.72, 721,419,295.32 and 390,340,998.49

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Solution

The fourth proportional to 522,729,843.72, 721,419,295.32 and 390,340,998.49 is: 538,709,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,729,843.72 : 721,419,295.32 = 390,340,998.49 : x
  2. Step 2: Convert to fraction form
    522,729,843.72/721,419,295.32 = 390,340,998.49/x
  3. Step 3: Cross multiply
    522,729,843.72x = 721,419,295.32 × 390,340,998.49
  4. Step 4: Simplify right side
    522,729,843.72x = 281,599,528,065,161,024
  5. Step 5: Solve for x
    x = 281,599,528,065,161,024/522,729,843.72
  6. Step 6: Final answer
    x = 538,709,491.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.