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Finding the Fourth Proportional to 432,987.90, 649,496.70 and 133,466.10

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Solution

The fourth proportional to 432,987.90, 649,496.70 and 133,466.10 is: 200,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,987.90 : 649,496.70 = 133,466.10 : x
  2. Step 2: Convert to fraction form
    432,987.90/649,496.70 = 133,466.10/x
  3. Step 3: Cross multiply
    432,987.90x = 649,496.70 × 133,466.10
  4. Step 4: Simplify right side
    432,987.90x = 86,685,791,511.87
  5. Step 5: Solve for x
    x = 86,685,791,511.87/432,987.90
  6. Step 6: Final answer
    x = 200,203.73

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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.