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Finding the Fourth Proportional to 978,448.92, 1,350,213.81 and 542,861.70

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Solution

The fourth proportional to 978,448.92, 1,350,213.81 and 542,861.70 is: 749,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,448.92 : 1,350,213.81 = 542,861.70 : x
  2. Step 2: Convert to fraction form
    978,448.92/1,350,213.81 = 542,861.70/x
  3. Step 3: Cross multiply
    978,448.92x = 1,350,213.81 × 542,861.70
  4. Step 4: Simplify right side
    978,448.92x = 732,979,357,161.04
  5. Step 5: Solve for x
    x = 732,979,357,161.04/978,448.92
  6. Step 6: Final answer
    x = 749,123.79

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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.