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Finding the Fourth Proportional to 434,713.52, 652,164.12 and 135,188.24

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Solution

The fourth proportional to 434,713.52, 652,164.12 and 135,188.24 is: 202,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,713.52 : 652,164.12 = 135,188.24 : x
  2. Step 2: Convert to fraction form
    434,713.52/652,164.12 = 135,188.24/x
  3. Step 3: Cross multiply
    434,713.52x = 652,164.12 × 135,188.24
  4. Step 4: Simplify right side
    434,713.52x = 88,164,919,573.95
  5. Step 5: Solve for x
    x = 88,164,919,573.95/434,713.52
  6. Step 6: Final answer
    x = 202,811.54

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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.