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Finding the Fourth Proportional to 320,382.50, 442,094.01 and 177,119.42

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Solution

The fourth proportional to 320,382.50, 442,094.01 and 177,119.42 is: 244,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,382.50 : 442,094.01 = 177,119.42 : x
  2. Step 2: Convert to fraction form
    320,382.50/442,094.01 = 177,119.42/x
  3. Step 3: Cross multiply
    320,382.50x = 442,094.01 × 177,119.42
  4. Step 4: Simplify right side
    320,382.50x = 78,303,432,426.20
  5. Step 5: Solve for x
    x = 78,303,432,426.20/320,382.50
  6. Step 6: Final answer
    x = 244,406.09

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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.