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Finding the Fourth Proportional to 428,686.74, 642,514.34 and 158,599.53

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Solution

The fourth proportional to 428,686.74, 642,514.34 and 158,599.53 is: 237,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,686.74 : 642,514.34 = 158,599.53 : x
  2. Step 2: Convert to fraction form
    428,686.74/642,514.34 = 158,599.53/x
  3. Step 3: Cross multiply
    428,686.74x = 642,514.34 × 158,599.53
  4. Step 4: Simplify right side
    428,686.74x = 101,902,471,549.26
  5. Step 5: Solve for x
    x = 101,902,471,549.26/428,686.74
  6. Step 6: Final answer
    x = 237,708.48

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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.