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Finding the Fourth Proportional to 415,020.70, 622,531.05 and 415,020.70

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Solution

The fourth proportional to 415,020.70, 622,531.05 and 415,020.70 is: 622,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,020.70 : 622,531.05 = 415,020.70 : x
  2. Step 2: Convert to fraction form
    415,020.70/622,531.05 = 415,020.70/x
  3. Step 3: Cross multiply
    415,020.70x = 622,531.05 × 415,020.70
  4. Step 4: Simplify right side
    415,020.70x = 258,363,272,142.74
  5. Step 5: Solve for x
    x = 258,363,272,142.74/415,020.70
  6. Step 6: Final answer
    x = 622,531.05

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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.