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Finding the Fourth Proportional to 527,702.82, 728,308.05 and 334,128.52

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Solution

The fourth proportional to 527,702.82, 728,308.05 and 334,128.52 is: 461,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,702.82 : 728,308.05 = 334,128.52 : x
  2. Step 2: Convert to fraction form
    527,702.82/728,308.05 = 334,128.52/x
  3. Step 3: Cross multiply
    527,702.82x = 728,308.05 × 334,128.52
  4. Step 4: Simplify right side
    527,702.82x = 243,348,490,850.59
  5. Step 5: Solve for x
    x = 243,348,490,850.59/527,702.82
  6. Step 6: Final answer
    x = 461,146.85

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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.