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Finding the Fourth Proportional to 378,287.76, 567,369.27 and 153,639.12

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Solution

The fourth proportional to 378,287.76, 567,369.27 and 153,639.12 is: 230,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,287.76 : 567,369.27 = 153,639.12 : x
  2. Step 2: Convert to fraction form
    378,287.76/567,369.27 = 153,639.12/x
  3. Step 3: Cross multiply
    378,287.76x = 567,369.27 × 153,639.12
  4. Step 4: Simplify right side
    378,287.76x = 87,170,115,357.84
  5. Step 5: Solve for x
    x = 87,170,115,357.84/378,287.76
  6. Step 6: Final answer
    x = 230,433.35

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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.