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Finding the Fourth Proportional to 208,908.80, 313,363.20 and 159,142.40

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Solution

The fourth proportional to 208,908.80, 313,363.20 and 159,142.40 is: 238,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,908.80 : 313,363.20 = 159,142.40 : x
  2. Step 2: Convert to fraction form
    208,908.80/313,363.20 = 159,142.40/x
  3. Step 3: Cross multiply
    208,908.80x = 313,363.20 × 159,142.40
  4. Step 4: Simplify right side
    208,908.80x = 49,869,371,719.68
  5. Step 5: Solve for x
    x = 49,869,371,719.68/208,908.80
  6. Step 6: Final answer
    x = 238,713.60

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1.5x scale

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.