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Finding the Fourth Proportional to 272,576.34, 408,689.55 and 178,972.74

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Solution

The fourth proportional to 272,576.34, 408,689.55 and 178,972.74 is: 268,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,576.34 : 408,689.55 = 178,972.74 : x
  2. Step 2: Convert to fraction form
    272,576.34/408,689.55 = 178,972.74/x
  3. Step 3: Cross multiply
    272,576.34x = 408,689.55 × 178,972.74
  4. Step 4: Simplify right side
    272,576.34x = 73,144,288,572.87
  5. Step 5: Solve for x
    x = 73,144,288,572.87/272,576.34
  6. Step 6: Final answer
    x = 268,344.23

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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.