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Finding the Fourth Proportional to 527,963.64, 728,398.90 and 346,773.80

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Solution

The fourth proportional to 527,963.64, 728,398.90 and 346,773.80 is: 478,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,963.64 : 728,398.90 = 346,773.80 : x
  2. Step 2: Convert to fraction form
    527,963.64/728,398.90 = 346,773.80/x
  3. Step 3: Cross multiply
    527,963.64x = 728,398.90 × 346,773.80
  4. Step 4: Simplify right side
    527,963.64x = 252,589,654,468.82
  5. Step 5: Solve for x
    x = 252,589,654,468.82/527,963.64
  6. Step 6: Final answer
    x = 478,422.44

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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.