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Finding the Fourth Proportional to 527,419.48, 727,659.84 and 297,943.24

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Solution

The fourth proportional to 527,419.48, 727,659.84 and 297,943.24 is: 411,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,419.48 : 727,659.84 = 297,943.24 : x
  2. Step 2: Convert to fraction form
    527,419.48/727,659.84 = 297,943.24/x
  3. Step 3: Cross multiply
    527,419.48x = 727,659.84 × 297,943.24
  4. Step 4: Simplify right side
    527,419.48x = 216,801,330,347.48
  5. Step 5: Solve for x
    x = 216,801,330,347.48/527,419.48
  6. Step 6: Final answer
    x = 411,060.53

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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.