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Finding the Fourth Proportional to 398,687.86, 598,250.49 and 161,966.98

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Solution

The fourth proportional to 398,687.86, 598,250.49 and 161,966.98 is: 243,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,687.86 : 598,250.49 = 161,966.98 : x
  2. Step 2: Convert to fraction form
    398,687.86/598,250.49 = 161,966.98/x
  3. Step 3: Cross multiply
    398,687.86x = 598,250.49 × 161,966.98
  4. Step 4: Simplify right side
    398,687.86x = 96,896,825,148.82
  5. Step 5: Solve for x
    x = 96,896,825,148.82/398,687.86
  6. Step 6: Final answer
    x = 243,039.32

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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.