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Finding the Fourth Proportional to 208,985.80, 313,478.70 and 207,819.40

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Solution

The fourth proportional to 208,985.80, 313,478.70 and 207,819.40 is: 311,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,985.80 : 313,478.70 = 207,819.40 : x
  2. Step 2: Convert to fraction form
    208,985.80/313,478.70 = 207,819.40/x
  3. Step 3: Cross multiply
    208,985.80x = 313,478.70 × 207,819.40
  4. Step 4: Simplify right side
    208,985.80x = 65,146,955,346.78
  5. Step 5: Solve for x
    x = 65,146,955,346.78/208,985.80
  6. Step 6: Final answer
    x = 311,729.10

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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.