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Finding the Fourth Proportional to 398,505.06, 597,631.80 and 158,514.61

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Solution

The fourth proportional to 398,505.06, 597,631.80 and 158,514.61 is: 237,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,505.06 : 597,631.80 = 158,514.61 : x
  2. Step 2: Convert to fraction form
    398,505.06/597,631.80 = 158,514.61/x
  3. Step 3: Cross multiply
    398,505.06x = 597,631.80 × 158,514.61
  4. Step 4: Simplify right side
    398,505.06x = 94,733,370,908.03
  5. Step 5: Solve for x
    x = 94,733,370,908.03/398,505.06
  6. Step 6: Final answer
    x = 237,721.88

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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.