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Finding the Fourth Proportional to 657,617.60, 986,426.40 and 433,231.40

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Solution

The fourth proportional to 657,617.60, 986,426.40 and 433,231.40 is: 649,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,617.60 : 986,426.40 = 433,231.40 : x
  2. Step 2: Convert to fraction form
    657,617.60/986,426.40 = 433,231.40/x
  3. Step 3: Cross multiply
    657,617.60x = 986,426.40 × 433,231.40
  4. Step 4: Simplify right side
    657,617.60x = 427,350,890,268.96
  5. Step 5: Solve for x
    x = 427,350,890,268.96/657,617.60
  6. Step 6: Final answer
    x = 649,847.10

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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.