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Finding the Fourth Proportional to 415,613.60, 623,420.40 and 399,024.80

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Solution

The fourth proportional to 415,613.60, 623,420.40 and 399,024.80 is: 598,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,613.60 : 623,420.40 = 399,024.80 : x
  2. Step 2: Convert to fraction form
    415,613.60/623,420.40 = 399,024.80/x
  3. Step 3: Cross multiply
    415,613.60x = 623,420.40 × 399,024.80
  4. Step 4: Simplify right side
    415,613.60x = 248,760,200,425.92
  5. Step 5: Solve for x
    x = 248,760,200,425.92/415,613.60
  6. Step 6: Final answer
    x = 598,537.20

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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.