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Finding the Fourth Proportional to 209,981.70, 314,972.55 and 185,487.30

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Solution

The fourth proportional to 209,981.70, 314,972.55 and 185,487.30 is: 278,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,981.70 : 314,972.55 = 185,487.30 : x
  2. Step 2: Convert to fraction form
    209,981.70/314,972.55 = 185,487.30/x
  3. Step 3: Cross multiply
    209,981.70x = 314,972.55 × 185,487.30
  4. Step 4: Simplify right side
    209,981.70x = 58,423,407,873.62
  5. Step 5: Solve for x
    x = 58,423,407,873.62/209,981.70
  6. Step 6: Final answer
    x = 278,230.95

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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.