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Finding the Fourth Proportional to 463,471.08, 639,241.92 and 310,681.59

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Solution

The fourth proportional to 463,471.08, 639,241.92 and 310,681.59 is: 428,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,471.08 : 639,241.92 = 310,681.59 : x
  2. Step 2: Convert to fraction form
    463,471.08/639,241.92 = 310,681.59/x
  3. Step 3: Cross multiply
    463,471.08x = 639,241.92 × 310,681.59
  4. Step 4: Simplify right side
    463,471.08x = 198,600,696,100.25
  5. Step 5: Solve for x
    x = 198,600,696,100.25/463,471.08
  6. Step 6: Final answer
    x = 428,507.20

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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.