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Finding the Fourth Proportional to 378,712.32, 567,971.04 and 112,409.76

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Solution

The fourth proportional to 378,712.32, 567,971.04 and 112,409.76 is: 168,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,712.32 : 567,971.04 = 112,409.76 : x
  2. Step 2: Convert to fraction form
    378,712.32/567,971.04 = 112,409.76/x
  3. Step 3: Cross multiply
    378,712.32x = 567,971.04 × 112,409.76
  4. Step 4: Simplify right side
    378,712.32x = 63,845,488,293.35
  5. Step 5: Solve for x
    x = 63,845,488,293.35/378,712.32
  6. Step 6: Final answer
    x = 168,585.72

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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.