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Finding the Fourth Proportional to 415,877.40, 623,810.32 and 100,331.64

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Solution

The fourth proportional to 415,877.40, 623,810.32 and 100,331.64 is: 150,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,877.40 : 623,810.32 = 100,331.64 : x
  2. Step 2: Convert to fraction form
    415,877.40/623,810.32 = 100,331.64/x
  3. Step 3: Cross multiply
    415,877.40x = 623,810.32 × 100,331.64
  4. Step 4: Simplify right side
    415,877.40x = 62,587,912,454.52
  5. Step 5: Solve for x
    x = 62,587,912,454.52/415,877.40
  6. Step 6: Final answer
    x = 150,496.07

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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.