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Finding the Fourth Proportional to 415,985.67, 623,978.40 and 135,502.92

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Solution

The fourth proportional to 415,985.67, 623,978.40 and 135,502.92 is: 203,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,985.67 : 623,978.40 = 135,502.92 : x
  2. Step 2: Convert to fraction form
    415,985.67/623,978.40 = 135,502.92/x
  3. Step 3: Cross multiply
    415,985.67x = 623,978.40 × 135,502.92
  4. Step 4: Simplify right side
    415,985.67x = 84,550,895,216.93
  5. Step 5: Solve for x
    x = 84,550,895,216.93/415,985.67
  6. Step 6: Final answer
    x = 203,254.35

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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.