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Finding the Fourth Proportional to 279,538.64, 385,765.12 and 152,214.72

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Solution

The fourth proportional to 279,538.64, 385,765.12 and 152,214.72 is: 210,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,538.64 : 385,765.12 = 152,214.72 : x
  2. Step 2: Convert to fraction form
    279,538.64/385,765.12 = 152,214.72/x
  3. Step 3: Cross multiply
    279,538.64x = 385,765.12 × 152,214.72
  4. Step 4: Simplify right side
    279,538.64x = 58,719,129,726.57
  5. Step 5: Solve for x
    x = 58,719,129,726.57/279,538.64
  6. Step 6: Final answer
    x = 210,057.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.