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Finding the Fourth Proportional to 398,658.49, 598,231.89 and 158,887.42

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Solution

The fourth proportional to 398,658.49, 598,231.89 and 158,887.42 is: 238,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,658.49 : 598,231.89 = 158,887.42 : x
  2. Step 2: Convert to fraction form
    398,658.49/598,231.89 = 158,887.42/x
  3. Step 3: Cross multiply
    398,658.49x = 598,231.89 × 158,887.42
  4. Step 4: Simplify right side
    398,658.49x = 95,051,520,068.24
  5. Step 5: Solve for x
    x = 95,051,520,068.24/398,658.49
  6. Step 6: Final answer
    x = 238,428.44

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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.