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Finding the Fourth Proportional to 288,105.84, 432,311.04 and 204,406.92

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Solution

The fourth proportional to 288,105.84, 432,311.04 and 204,406.92 is: 306,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,105.84 : 432,311.04 = 204,406.92 : x
  2. Step 2: Convert to fraction form
    288,105.84/432,311.04 = 204,406.92/x
  3. Step 3: Cross multiply
    288,105.84x = 432,311.04 × 204,406.92
  4. Step 4: Simplify right side
    288,105.84x = 88,367,368,168.40
  5. Step 5: Solve for x
    x = 88,367,368,168.40/288,105.84
  6. Step 6: Final answer
    x = 306,718.42

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1.5x scale

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.