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Finding the Fourth Proportional to 313,487.60, 432,711.24 and 200,310.80

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Solution

The fourth proportional to 313,487.60, 432,711.24 and 200,310.80 is: 276,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,487.60 : 432,711.24 = 200,310.80 : x
  2. Step 2: Convert to fraction form
    313,487.60/432,711.24 = 200,310.80/x
  3. Step 3: Cross multiply
    313,487.60x = 432,711.24 × 200,310.80
  4. Step 4: Simplify right side
    313,487.60x = 86,676,734,653.39
  5. Step 5: Solve for x
    x = 86,676,734,653.39/313,487.60
  6. Step 6: Final answer
    x = 276,491.75

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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.