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Finding the Fourth Proportional to 272,289.30, 408,472.82 and 85,315.38

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Solution

The fourth proportional to 272,289.30, 408,472.82 and 85,315.38 is: 127,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,289.30 : 408,472.82 = 85,315.38 : x
  2. Step 2: Convert to fraction form
    272,289.30/408,472.82 = 85,315.38/x
  3. Step 3: Cross multiply
    272,289.30x = 408,472.82 × 85,315.38
  4. Step 4: Simplify right side
    272,289.30x = 34,849,013,857.97
  5. Step 5: Solve for x
    x = 34,849,013,857.97/272,289.30
  6. Step 6: Final answer
    x = 127,985.25

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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.