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Finding the Fourth Proportional to 387,693.68, 581,321.81 and 150,765.03

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Solution

The fourth proportional to 387,693.68, 581,321.81 and 150,765.03 is: 226,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,693.68 : 581,321.81 = 150,765.03 : x
  2. Step 2: Convert to fraction form
    387,693.68/581,321.81 = 150,765.03/x
  3. Step 3: Cross multiply
    387,693.68x = 581,321.81 × 150,765.03
  4. Step 4: Simplify right side
    387,693.68x = 87,643,000,124.30
  5. Step 5: Solve for x
    x = 87,643,000,124.30/387,693.68
  6. Step 6: Final answer
    x = 226,062.49

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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.