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Finding the Fourth Proportional to 442,736.32, 664,102.56 and 189,995.20

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Solution

The fourth proportional to 442,736.32, 664,102.56 and 189,995.20 is: 284,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,736.32 : 664,102.56 = 189,995.20 : x
  2. Step 2: Convert to fraction form
    442,736.32/664,102.56 = 189,995.20/x
  3. Step 3: Cross multiply
    442,736.32x = 664,102.56 × 189,995.20
  4. Step 4: Simplify right side
    442,736.32x = 126,176,298,707.71
  5. Step 5: Solve for x
    x = 126,176,298,707.71/442,736.32
  6. Step 6: Final answer
    x = 284,991.98

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1.5x scale

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.