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Finding the Fourth Proportional to 431,644,458.60, 647,466,687.90 and 386,294,826.60

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Solution

The fourth proportional to 431,644,458.60, 647,466,687.90 and 386,294,826.60 is: 579,442,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,644,458.60 : 647,466,687.90 = 386,294,826.60 : x
  2. Step 2: Convert to fraction form
    431,644,458.60/647,466,687.90 = 386,294,826.60/x
  3. Step 3: Cross multiply
    431,644,458.60x = 647,466,687.90 × 386,294,826.60
  4. Step 4: Simplify right side
    431,644,458.60x = 250,113,031,931,606,816
  5. Step 5: Solve for x
    x = 250,113,031,931,606,816/431,644,458.60
  6. Step 6: Final answer
    x = 579,442,239.90

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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.