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Finding the Fourth Proportional to 378,527.87, 567,301.32 and 153,765.70

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Solution

The fourth proportional to 378,527.87, 567,301.32 and 153,765.70 is: 230,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,527.87 : 567,301.32 = 153,765.70 : x
  2. Step 2: Convert to fraction form
    378,527.87/567,301.32 = 153,765.70/x
  3. Step 3: Cross multiply
    378,527.87x = 567,301.32 × 153,765.70
  4. Step 4: Simplify right side
    378,527.87x = 87,231,483,162.47
  5. Step 5: Solve for x
    x = 87,231,483,162.47/378,527.87
  6. Step 6: Final answer
    x = 230,449.30

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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.