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Finding the Fourth Proportional to 480,867.36, 721,366.62 and 200,319

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Solution

The fourth proportional to 480,867.36, 721,366.62 and 200,319 is: 300,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,867.36 : 721,366.62 = 200,319 : x
  2. Step 2: Convert to fraction form
    480,867.36/721,366.62 = 200,319/x
  3. Step 3: Cross multiply
    480,867.36x = 721,366.62 × 200,319
  4. Step 4: Simplify right side
    480,867.36x = 144,503,439,951.78
  5. Step 5: Solve for x
    x = 144,503,439,951.78/480,867.36
  6. Step 6: Final answer
    x = 300,505.82

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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.