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Finding the Fourth Proportional to 527,492.34, 727,938.54 and 285,781.05

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Solution

The fourth proportional to 527,492.34, 727,938.54 and 285,781.05 is: 394,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,492.34 : 727,938.54 = 285,781.05 : x
  2. Step 2: Convert to fraction form
    527,492.34/727,938.54 = 285,781.05/x
  3. Step 3: Cross multiply
    527,492.34x = 727,938.54 × 285,781.05
  4. Step 4: Simplify right side
    527,492.34x = 208,031,040,296.67
  5. Step 5: Solve for x
    x = 208,031,040,296.67/527,492.34
  6. Step 6: Final answer
    x = 394,377.37

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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.