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Finding the Fourth Proportional to 321,008.64, 442,872.96 and 207,893.76

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Solution

The fourth proportional to 321,008.64, 442,872.96 and 207,893.76 is: 286,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,008.64 : 442,872.96 = 207,893.76 : x
  2. Step 2: Convert to fraction form
    321,008.64/442,872.96 = 207,893.76/x
  3. Step 3: Cross multiply
    321,008.64x = 442,872.96 × 207,893.76
  4. Step 4: Simplify right side
    321,008.64x = 92,070,524,856.73
  5. Step 5: Solve for x
    x = 92,070,524,856.73/321,008.64
  6. Step 6: Final answer
    x = 286,816.35

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1.5x scale

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.