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Finding the Fourth Proportional to 415,013.60, 622,520.40 and 406,265.60

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Solution

The fourth proportional to 415,013.60, 622,520.40 and 406,265.60 is: 609,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,013.60 : 622,520.40 = 406,265.60 : x
  2. Step 2: Convert to fraction form
    415,013.60/622,520.40 = 406,265.60/x
  3. Step 3: Cross multiply
    415,013.60x = 622,520.40 × 406,265.60
  4. Step 4: Simplify right side
    415,013.60x = 252,908,623,818.24
  5. Step 5: Solve for x
    x = 252,908,623,818.24/415,013.60
  6. Step 6: Final answer
    x = 609,398.40

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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.