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Finding the Fourth Proportional to 434,712.70, 652,069.05 and 135,212.20

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Solution

The fourth proportional to 434,712.70, 652,069.05 and 135,212.20 is: 202,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,712.70 : 652,069.05 = 135,212.20 : x
  2. Step 2: Convert to fraction form
    434,712.70/652,069.05 = 135,212.20/x
  3. Step 3: Cross multiply
    434,712.70x = 652,069.05 × 135,212.20
  4. Step 4: Simplify right side
    434,712.70x = 88,167,690,802.41
  5. Step 5: Solve for x
    x = 88,167,690,802.41/434,712.70
  6. Step 6: Final answer
    x = 202,818.30

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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.