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Finding the Fourth Proportional to 348,164.56, 522,217.68 and 137,746

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Solution

The fourth proportional to 348,164.56, 522,217.68 and 137,746 is: 206,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,164.56 : 522,217.68 = 137,746 : x
  2. Step 2: Convert to fraction form
    348,164.56/522,217.68 = 137,746/x
  3. Step 3: Cross multiply
    348,164.56x = 522,217.68 × 137,746
  4. Step 4: Simplify right side
    348,164.56x = 71,933,396,549.28
  5. Step 5: Solve for x
    x = 71,933,396,549.28/348,164.56
  6. Step 6: Final answer
    x = 206,607.46

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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.