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Finding the Fourth Proportional to 320,455.28, 480,711 and 83,797.04

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Solution

The fourth proportional to 320,455.28, 480,711 and 83,797.04 is: 125,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,455.28 : 480,711 = 83,797.04 : x
  2. Step 2: Convert to fraction form
    320,455.28/480,711 = 83,797.04/x
  3. Step 3: Cross multiply
    320,455.28x = 480,711 × 83,797.04
  4. Step 4: Simplify right side
    320,455.28x = 40,282,158,895.44
  5. Step 5: Solve for x
    x = 40,282,158,895.44/320,455.28
  6. Step 6: Final answer
    x = 125,702.90

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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.