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Finding the Fourth Proportional to 978,428.64, 1,350,242.68 and 542,854.02

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Solution

The fourth proportional to 978,428.64, 1,350,242.68 and 542,854.02 is: 749,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,428.64 : 1,350,242.68 = 542,854.02 : x
  2. Step 2: Convert to fraction form
    978,428.64/1,350,242.68 = 542,854.02/x
  3. Step 3: Cross multiply
    978,428.64x = 1,350,242.68 × 542,854.02
  4. Step 4: Simplify right side
    978,428.64x = 732,984,666,813.57
  5. Step 5: Solve for x
    x = 732,984,666,813.57/978,428.64
  6. Step 6: Final answer
    x = 749,144.74

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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.