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Finding the Fourth Proportional to 209,903.20, 314,854.80 and 207,934.90

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Solution

The fourth proportional to 209,903.20, 314,854.80 and 207,934.90 is: 311,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,903.20 : 314,854.80 = 207,934.90 : x
  2. Step 2: Convert to fraction form
    209,903.20/314,854.80 = 207,934.90/x
  3. Step 3: Cross multiply
    209,903.20x = 314,854.80 × 207,934.90
  4. Step 4: Simplify right side
    209,903.20x = 65,469,301,352.52
  5. Step 5: Solve for x
    x = 65,469,301,352.52/209,903.20
  6. Step 6: Final answer
    x = 311,902.35

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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.