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Finding the Fourth Proportional to 286,493.68, 429,619.02 and 136,560.52

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Solution

The fourth proportional to 286,493.68, 429,619.02 and 136,560.52 is: 204,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,493.68 : 429,619.02 = 136,560.52 : x
  2. Step 2: Convert to fraction form
    286,493.68/429,619.02 = 136,560.52/x
  3. Step 3: Cross multiply
    286,493.68x = 429,619.02 × 136,560.52
  4. Step 4: Simplify right side
    286,493.68x = 58,668,996,773.09
  5. Step 5: Solve for x
    x = 58,668,996,773.09/286,493.68
  6. Step 6: Final answer
    x = 204,782.87

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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.