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Finding the Fourth Proportional to 407,647.20, 611,325.28 and 167,691

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Solution

The fourth proportional to 407,647.20, 611,325.28 and 167,691 is: 251,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,647.20 : 611,325.28 = 167,691 : x
  2. Step 2: Convert to fraction form
    407,647.20/611,325.28 = 167,691/x
  3. Step 3: Cross multiply
    407,647.20x = 611,325.28 × 167,691
  4. Step 4: Simplify right side
    407,647.20x = 102,513,747,528.48
  5. Step 5: Solve for x
    x = 102,513,747,528.48/407,647.20
  6. Step 6: Final answer
    x = 251,476.64

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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.