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Finding the Fourth Proportional to 480,739.30, 663,624.51 and 299,540.76

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Solution

The fourth proportional to 480,739.30, 663,624.51 and 299,540.76 is: 413,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,739.30 : 663,624.51 = 299,540.76 : x
  2. Step 2: Convert to fraction form
    480,739.30/663,624.51 = 299,540.76/x
  3. Step 3: Cross multiply
    480,739.30x = 663,624.51 × 299,540.76
  4. Step 4: Simplify right side
    480,739.30x = 198,782,586,468.16
  5. Step 5: Solve for x
    x = 198,782,586,468.16/480,739.30
  6. Step 6: Final answer
    x = 413,493.52

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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.