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Finding the Fourth Proportional to 289,414.40, 433,276.80 and 206,470.40

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Solution

The fourth proportional to 289,414.40, 433,276.80 and 206,470.40 is: 309,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,414.40 : 433,276.80 = 206,470.40 : x
  2. Step 2: Convert to fraction form
    289,414.40/433,276.80 = 206,470.40/x
  3. Step 3: Cross multiply
    289,414.40x = 433,276.80 × 206,470.40
  4. Step 4: Simplify right side
    289,414.40x = 89,458,834,206.72
  5. Step 5: Solve for x
    x = 89,458,834,206.72/289,414.40
  6. Step 6: Final answer
    x = 309,102.91

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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.