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Finding the Fourth Proportional to 362,339.98, 542,918.11 and 220,228.72

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Solution

The fourth proportional to 362,339.98, 542,918.11 and 220,228.72 is: 329,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,339.98 : 542,918.11 = 220,228.72 : x
  2. Step 2: Convert to fraction form
    362,339.98/542,918.11 = 220,228.72/x
  3. Step 3: Cross multiply
    362,339.98x = 542,918.11 × 220,228.72
  4. Step 4: Simplify right side
    362,339.98x = 119,566,161,989.10
  5. Step 5: Solve for x
    x = 119,566,161,989.10/362,339.98
  6. Step 6: Final answer
    x = 329,983.35

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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.