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Finding the Fourth Proportional to 209,913.20, 314,869.80 and 207,944.90

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Solution

The fourth proportional to 209,913.20, 314,869.80 and 207,944.90 is: 311,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,913.20 : 314,869.80 = 207,944.90 : x
  2. Step 2: Convert to fraction form
    209,913.20/314,869.80 = 207,944.90/x
  3. Step 3: Cross multiply
    209,913.20x = 314,869.80 × 207,944.90
  4. Step 4: Simplify right side
    209,913.20x = 65,475,569,074.02
  5. Step 5: Solve for x
    x = 65,475,569,074.02/209,913.20
  6. Step 6: Final answer
    x = 311,917.35

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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.