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Finding the Fourth Proportional to 415,805.40, 623,708.10 and 398,090.70

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Solution

The fourth proportional to 415,805.40, 623,708.10 and 398,090.70 is: 597,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,805.40 : 623,708.10 = 398,090.70 : x
  2. Step 2: Convert to fraction form
    415,805.40/623,708.10 = 398,090.70/x
  3. Step 3: Cross multiply
    415,805.40x = 623,708.10 × 398,090.70
  4. Step 4: Simplify right side
    415,805.40x = 248,292,394,124.67
  5. Step 5: Solve for x
    x = 248,292,394,124.67/415,805.40
  6. Step 6: Final answer
    x = 597,136.05

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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.