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Finding the Fourth Proportional to 491,875.92, 737,917.56 and 159,426

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Solution

The fourth proportional to 491,875.92, 737,917.56 and 159,426 is: 239,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,875.92 : 737,917.56 = 159,426 : x
  2. Step 2: Convert to fraction form
    491,875.92/737,917.56 = 159,426/x
  3. Step 3: Cross multiply
    491,875.92x = 737,917.56 × 159,426
  4. Step 4: Simplify right side
    491,875.92x = 117,643,244,920.56
  5. Step 5: Solve for x
    x = 117,643,244,920.56/491,875.92
  6. Step 6: Final answer
    x = 239,172.60

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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.