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Finding the Fourth Proportional to 457,952.96, 687,013.92 and 142,389.44

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Solution

The fourth proportional to 457,952.96, 687,013.92 and 142,389.44 is: 213,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,952.96 : 687,013.92 = 142,389.44 : x
  2. Step 2: Convert to fraction form
    457,952.96/687,013.92 = 142,389.44/x
  3. Step 3: Cross multiply
    457,952.96x = 687,013.92 × 142,389.44
  4. Step 4: Simplify right side
    457,952.96x = 97,823,527,341.00
  5. Step 5: Solve for x
    x = 97,823,527,341.00/457,952.96
  6. Step 6: Final answer
    x = 213,610.43

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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.