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Finding the Fourth Proportional to 400,355.92, 600,770.76 and 147,812.50

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Solution

The fourth proportional to 400,355.92, 600,770.76 and 147,812.50 is: 221,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,355.92 : 600,770.76 = 147,812.50 : x
  2. Step 2: Convert to fraction form
    400,355.92/600,770.76 = 147,812.50/x
  3. Step 3: Cross multiply
    400,355.92x = 600,770.76 × 147,812.50
  4. Step 4: Simplify right side
    400,355.92x = 88,801,427,962.50
  5. Step 5: Solve for x
    x = 88,801,427,962.50/400,355.92
  6. Step 6: Final answer
    x = 221,806.21

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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.