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Finding the Fourth Proportional to 400,316.28, 600,380.07 and 147,459.42

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Solution

The fourth proportional to 400,316.28, 600,380.07 and 147,459.42 is: 221,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,316.28 : 600,380.07 = 147,459.42 : x
  2. Step 2: Convert to fraction form
    400,316.28/600,380.07 = 147,459.42/x
  3. Step 3: Cross multiply
    400,316.28x = 600,380.07 × 147,459.42
  4. Step 4: Simplify right side
    400,316.28x = 88,531,696,348.79
  5. Step 5: Solve for x
    x = 88,531,696,348.79/400,316.28
  6. Step 6: Final answer
    x = 221,154.38

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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.