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Finding the Fourth Proportional to 272,117.80, 408,176.70 and 254,492.20

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Solution

The fourth proportional to 272,117.80, 408,176.70 and 254,492.20 is: 381,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,117.80 : 408,176.70 = 254,492.20 : x
  2. Step 2: Convert to fraction form
    272,117.80/408,176.70 = 254,492.20/x
  3. Step 3: Cross multiply
    272,117.80x = 408,176.70 × 254,492.20
  4. Step 4: Simplify right side
    272,117.80x = 103,877,786,371.74
  5. Step 5: Solve for x
    x = 103,877,786,371.74/272,117.80
  6. Step 6: Final answer
    x = 381,738.30

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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.