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Finding the Fourth Proportional to 330,947.80, 496,421.70 and 256,298.20

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Solution

The fourth proportional to 330,947.80, 496,421.70 and 256,298.20 is: 384,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,947.80 : 496,421.70 = 256,298.20 : x
  2. Step 2: Convert to fraction form
    330,947.80/496,421.70 = 256,298.20/x
  3. Step 3: Cross multiply
    330,947.80x = 496,421.70 × 256,298.20
  4. Step 4: Simplify right side
    330,947.80x = 127,231,988,150.94
  5. Step 5: Solve for x
    x = 127,231,988,150.94/330,947.80
  6. Step 6: Final answer
    x = 384,447.30

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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.