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Finding the Fourth Proportional to 442,959.70, 664,309.95 and 158,617.30

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Solution

The fourth proportional to 442,959.70, 664,309.95 and 158,617.30 is: 237,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,959.70 : 664,309.95 = 158,617.30 : x
  2. Step 2: Convert to fraction form
    442,959.70/664,309.95 = 158,617.30/x
  3. Step 3: Cross multiply
    442,959.70x = 664,309.95 × 158,617.30
  4. Step 4: Simplify right side
    442,959.70x = 105,371,050,632.14
  5. Step 5: Solve for x
    x = 105,371,050,632.14/442,959.70
  6. Step 6: Final answer
    x = 237,879.54

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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.