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Finding the Fourth Proportional to 480,923.30, 663,680.72 and 299,708.48

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Solution

The fourth proportional to 480,923.30, 663,680.72 and 299,708.48 is: 413,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,923.30 : 663,680.72 = 299,708.48 : x
  2. Step 2: Convert to fraction form
    480,923.30/663,680.72 = 299,708.48/x
  3. Step 3: Cross multiply
    480,923.30x = 663,680.72 × 299,708.48
  4. Step 4: Simplify right side
    480,923.30x = 198,910,739,796.51
  5. Step 5: Solve for x
    x = 198,910,739,796.51/480,923.30
  6. Step 6: Final answer
    x = 413,601.79

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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.