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Finding the Fourth Proportional to 538,715.70, 743,432.85 and 297,007.65

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Solution

The fourth proportional to 538,715.70, 743,432.85 and 297,007.65 is: 409,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,715.70 : 743,432.85 = 297,007.65 : x
  2. Step 2: Convert to fraction form
    538,715.70/743,432.85 = 297,007.65/x
  3. Step 3: Cross multiply
    538,715.70x = 743,432.85 × 297,007.65
  4. Step 4: Simplify right side
    538,715.70x = 220,805,243,711.30
  5. Step 5: Solve for x
    x = 220,805,243,711.30/538,715.70
  6. Step 6: Final answer
    x = 409,873.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.