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Finding the Fourth Proportional to 286,359.48, 429,538.68 and 159,977.88

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Solution

The fourth proportional to 286,359.48, 429,538.68 and 159,977.88 is: 239,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,359.48 : 429,538.68 = 159,977.88 : x
  2. Step 2: Convert to fraction form
    286,359.48/429,538.68 = 159,977.88/x
  3. Step 3: Cross multiply
    286,359.48x = 429,538.68 × 159,977.88
  4. Step 4: Simplify right side
    286,359.48x = 68,716,687,404.40
  5. Step 5: Solve for x
    x = 68,716,687,404.40/286,359.48
  6. Step 6: Final answer
    x = 239,966.52

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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.