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Finding the Fourth Proportional to 527,137.36, 727,451 and 285,418

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Solution

The fourth proportional to 527,137.36, 727,451 and 285,418 is: 393,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,137.36 : 727,451 = 285,418 : x
  2. Step 2: Convert to fraction form
    527,137.36/727,451 = 285,418/x
  3. Step 3: Cross multiply
    527,137.36x = 727,451 × 285,418
  4. Step 4: Simplify right side
    527,137.36x = 207,627,609,518
  5. Step 5: Solve for x
    x = 207,627,609,518/527,137.36
  6. Step 6: Final answer
    x = 393,877.62

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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.