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Finding the Fourth Proportional to 288,936.20, 433,404.30 and 286,967.90

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Solution

The fourth proportional to 288,936.20, 433,404.30 and 286,967.90 is: 430,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,936.20 : 433,404.30 = 286,967.90 : x
  2. Step 2: Convert to fraction form
    288,936.20/433,404.30 = 286,967.90/x
  3. Step 3: Cross multiply
    288,936.20x = 433,404.30 × 286,967.90
  4. Step 4: Simplify right side
    288,936.20x = 124,373,121,821.97
  5. Step 5: Solve for x
    x = 124,373,121,821.97/288,936.20
  6. Step 6: Final answer
    x = 430,451.85

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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.