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Finding the Fourth Proportional to 415,625.86, 623,504.40 and 135,077.50

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Solution

The fourth proportional to 415,625.86, 623,504.40 and 135,077.50 is: 202,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,625.86 : 623,504.40 = 135,077.50 : x
  2. Step 2: Convert to fraction form
    415,625.86/623,504.40 = 135,077.50/x
  3. Step 3: Cross multiply
    415,625.86x = 623,504.40 × 135,077.50
  4. Step 4: Simplify right side
    415,625.86x = 84,221,415,591
  5. Step 5: Solve for x
    x = 84,221,415,591/415,625.86
  6. Step 6: Final answer
    x = 202,637.57

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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.