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Finding the Fourth Proportional to 527,420.47, 727,843.72 and 285,703.03

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Solution

The fourth proportional to 527,420.47, 727,843.72 and 285,703.03 is: 394,272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,420.47 : 727,843.72 = 285,703.03 : x
  2. Step 2: Convert to fraction form
    527,420.47/727,843.72 = 285,703.03/x
  3. Step 3: Cross multiply
    527,420.47x = 727,843.72 × 285,703.03
  4. Step 4: Simplify right side
    527,420.47x = 207,947,156,170.47
  5. Step 5: Solve for x
    x = 207,947,156,170.47/527,420.47
  6. Step 6: Final answer
    x = 394,272.07

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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.