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Finding the Fourth Proportional to 288,998.20, 433,497.30 and 155,809.90

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Solution

The fourth proportional to 288,998.20, 433,497.30 and 155,809.90 is: 233,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,998.20 : 433,497.30 = 155,809.90 : x
  2. Step 2: Convert to fraction form
    288,998.20/433,497.30 = 155,809.90/x
  3. Step 3: Cross multiply
    288,998.20x = 433,497.30 × 155,809.90
  4. Step 4: Simplify right side
    288,998.20x = 67,543,170,963.27
  5. Step 5: Solve for x
    x = 67,543,170,963.27/288,998.20
  6. Step 6: Final answer
    x = 233,714.85

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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.