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Finding the Fourth Proportional to 428,274.72, 642,193.34 and 158,389.20

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Solution

The fourth proportional to 428,274.72, 642,193.34 and 158,389.20 is: 237,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,274.72 : 642,193.34 = 158,389.20 : x
  2. Step 2: Convert to fraction form
    428,274.72/642,193.34 = 158,389.20/x
  3. Step 3: Cross multiply
    428,274.72x = 642,193.34 × 158,389.20
  4. Step 4: Simplify right side
    428,274.72x = 101,716,489,367.93
  5. Step 5: Solve for x
    x = 101,716,489,367.93/428,274.72
  6. Step 6: Final answer
    x = 237,502.90

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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.