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Finding the Fourth Proportional to 415,020.55, 623,114.03 and 257,556.55

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Solution

The fourth proportional to 415,020.55, 623,114.03 and 257,556.55 is: 386,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,020.55 : 623,114.03 = 257,556.55 : x
  2. Step 2: Convert to fraction form
    415,020.55/623,114.03 = 257,556.55/x
  3. Step 3: Cross multiply
    415,020.55x = 623,114.03 × 257,556.55
  4. Step 4: Simplify right side
    415,020.55x = 160,487,098,535.61
  5. Step 5: Solve for x
    x = 160,487,098,535.61/415,020.55
  6. Step 6: Final answer
    x = 386,696.75

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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.