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Finding the Fourth Proportional to 415,428.80, 623,143.20 and 341,617.55

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Solution

The fourth proportional to 415,428.80, 623,143.20 and 341,617.55 is: 512,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,428.80 : 623,143.20 = 341,617.55 : x
  2. Step 2: Convert to fraction form
    415,428.80/623,143.20 = 341,617.55/x
  3. Step 3: Cross multiply
    415,428.80x = 623,143.20 × 341,617.55
  4. Step 4: Simplify right side
    415,428.80x = 212,876,653,283.16
  5. Step 5: Solve for x
    x = 212,876,653,283.16/415,428.80
  6. Step 6: Final answer
    x = 512,426.33

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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.