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Finding the Fourth Proportional to 527,945.44, 728,373.72 and 346,755.64

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Solution

The fourth proportional to 527,945.44, 728,373.72 and 346,755.64 is: 478,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,945.44 : 728,373.72 = 346,755.64 : x
  2. Step 2: Convert to fraction form
    527,945.44/728,373.72 = 346,755.64/x
  3. Step 3: Cross multiply
    527,945.44x = 728,373.72 × 346,755.64
  4. Step 4: Simplify right side
    527,945.44x = 252,567,695,437.78
  5. Step 5: Solve for x
    x = 252,567,695,437.78/527,945.44
  6. Step 6: Final answer
    x = 478,397.34

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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.