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Finding the Fourth Proportional to 432,887.40, 649,331.10 and 243,930.60

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Solution

The fourth proportional to 432,887.40, 649,331.10 and 243,930.60 is: 365,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,887.40 : 649,331.10 = 243,930.60 : x
  2. Step 2: Convert to fraction form
    432,887.40/649,331.10 = 243,930.60/x
  3. Step 3: Cross multiply
    432,887.40x = 649,331.10 × 243,930.60
  4. Step 4: Simplify right side
    432,887.40x = 158,391,724,821.66
  5. Step 5: Solve for x
    x = 158,391,724,821.66/432,887.40
  6. Step 6: Final answer
    x = 365,895.90

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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.