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Finding the Fourth Proportional to 425,309.78, 587,171.86 and 282,263.78

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Solution

The fourth proportional to 425,309.78, 587,171.86 and 282,263.78 is: 389,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,309.78 : 587,171.86 = 282,263.78 : x
  2. Step 2: Convert to fraction form
    425,309.78/587,171.86 = 282,263.78/x
  3. Step 3: Cross multiply
    425,309.78x = 587,171.86 × 282,263.78
  4. Step 4: Simplify right side
    425,309.78x = 165,737,348,713.23
  5. Step 5: Solve for x
    x = 165,737,348,713.23/425,309.78
  6. Step 6: Final answer
    x = 389,686.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.