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Finding the Fourth Proportional to 320,358.78, 442,056.15 and 177,098.94

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Solution

The fourth proportional to 320,358.78, 442,056.15 and 177,098.94 is: 244,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,358.78 : 442,056.15 = 177,098.94 : x
  2. Step 2: Convert to fraction form
    320,358.78/442,056.15 = 177,098.94/x
  3. Step 3: Cross multiply
    320,358.78x = 442,056.15 × 177,098.94
  4. Step 4: Simplify right side
    320,358.78x = 78,287,675,585.48
  5. Step 5: Solve for x
    x = 78,287,675,585.48/320,358.78
  6. Step 6: Final answer
    x = 244,375.00

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1.5x scale

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.