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Finding the Fourth Proportional to 398,646.25, 598,218.40 and 161,988.85

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Solution

The fourth proportional to 398,646.25, 598,218.40 and 161,988.85 is: 243,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,646.25 : 598,218.40 = 161,988.85 : x
  2. Step 2: Convert to fraction form
    398,646.25/598,218.40 = 161,988.85/x
  3. Step 3: Cross multiply
    398,646.25x = 598,218.40 × 161,988.85
  4. Step 4: Simplify right side
    398,646.25x = 96,904,710,259.87
  5. Step 5: Solve for x
    x = 96,904,710,259.87/398,646.25
  6. Step 6: Final answer
    x = 243,084.46

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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.