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Finding the Fourth Proportional to 487,692, 730,873.80 and 274,561.56

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Solution

The fourth proportional to 487,692, 730,873.80 and 274,561.56 is: 411,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,692 : 730,873.80 = 274,561.56 : x
  2. Step 2: Convert to fraction form
    487,692/730,873.80 = 274,561.56/x
  3. Step 3: Cross multiply
    487,692x = 730,873.80 × 274,561.56
  4. Step 4: Simplify right side
    487,692x = 200,669,850,691.13
  5. Step 5: Solve for x
    x = 200,669,850,691.13/487,692
  6. Step 6: Final answer
    x = 411,468.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.