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Finding the Fourth Proportional to 457,674.24, 686,502.72 and 142,124.16

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Solution

The fourth proportional to 457,674.24, 686,502.72 and 142,124.16 is: 213,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,674.24 : 686,502.72 = 142,124.16 : x
  2. Step 2: Convert to fraction form
    457,674.24/686,502.72 = 142,124.16/x
  3. Step 3: Cross multiply
    457,674.24x = 686,502.72 × 142,124.16
  4. Step 4: Simplify right side
    457,674.24x = 97,568,622,417.72
  5. Step 5: Solve for x
    x = 97,568,622,417.72/457,674.24
  6. Step 6: Final answer
    x = 213,183.56

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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.