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Finding the Fourth Proportional to 349,315.20, 523,972.80 and 99,964.80

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Solution

The fourth proportional to 349,315.20, 523,972.80 and 99,964.80 is: 149,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,315.20 : 523,972.80 = 99,964.80 : x
  2. Step 2: Convert to fraction form
    349,315.20/523,972.80 = 99,964.80/x
  3. Step 3: Cross multiply
    349,315.20x = 523,972.80 × 99,964.80
  4. Step 4: Simplify right side
    349,315.20x = 52,378,836,157.44
  5. Step 5: Solve for x
    x = 52,378,836,157.44/349,315.20
  6. Step 6: Final answer
    x = 149,947.20

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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.