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Finding the Fourth Proportional to 272,658.09, 408,981.13 and 72,978.46

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Solution

The fourth proportional to 272,658.09, 408,981.13 and 72,978.46 is: 109,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,658.09 : 408,981.13 = 72,978.46 : x
  2. Step 2: Convert to fraction form
    272,658.09/408,981.13 = 72,978.46/x
  3. Step 3: Cross multiply
    272,658.09x = 408,981.13 × 72,978.46
  4. Step 4: Simplify right side
    272,658.09x = 29,846,813,036.46
  5. Step 5: Solve for x
    x = 29,846,813,036.46/272,658.09
  6. Step 6: Final answer
    x = 109,466.08

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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.