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Finding the Fourth Proportional to 320,808.92, 442,709.70 and 177,560.42

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Solution

The fourth proportional to 320,808.92, 442,709.70 and 177,560.42 is: 245,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,808.92 : 442,709.70 = 177,560.42 : x
  2. Step 2: Convert to fraction form
    320,808.92/442,709.70 = 177,560.42/x
  3. Step 3: Cross multiply
    320,808.92x = 442,709.70 × 177,560.42
  4. Step 4: Simplify right side
    320,808.92x = 78,607,720,270.07
  5. Step 5: Solve for x
    x = 78,607,720,270.07/320,808.92
  6. Step 6: Final answer
    x = 245,029.72

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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.