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Finding the Fourth Proportional to 398,662.26, 598,237.50 and 158,891.16

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Solution

The fourth proportional to 398,662.26, 598,237.50 and 158,891.16 is: 238,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,662.26 : 598,237.50 = 158,891.16 : x
  2. Step 2: Convert to fraction form
    398,662.26/598,237.50 = 158,891.16/x
  3. Step 3: Cross multiply
    398,662.26x = 598,237.50 × 158,891.16
  4. Step 4: Simplify right side
    398,662.26x = 95,054,650,330.50
  5. Step 5: Solve for x
    x = 95,054,650,330.50/398,662.26
  6. Step 6: Final answer
    x = 238,434.03

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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.