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Finding the Fourth Proportional to 564,861.54, 780,015.24 and 421,372.47

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Solution

The fourth proportional to 564,861.54, 780,015.24 and 421,372.47 is: 581,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,861.54 : 780,015.24 = 421,372.47 : x
  2. Step 2: Convert to fraction form
    564,861.54/780,015.24 = 421,372.47/x
  3. Step 3: Cross multiply
    564,861.54x = 780,015.24 × 421,372.47
  4. Step 4: Simplify right side
    564,861.54x = 328,676,948,316.44
  5. Step 5: Solve for x
    x = 328,676,948,316.44/564,861.54
  6. Step 6: Final answer
    x = 581,871.71

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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.