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Finding the Fourth Proportional to 288,858.20, 433,543.30 and 170,381.40

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Solution

The fourth proportional to 288,858.20, 433,543.30 and 170,381.40 is: 255,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,858.20 : 433,543.30 = 170,381.40 : x
  2. Step 2: Convert to fraction form
    288,858.20/433,543.30 = 170,381.40/x
  3. Step 3: Cross multiply
    288,858.20x = 433,543.30 × 170,381.40
  4. Step 4: Simplify right side
    288,858.20x = 73,867,714,414.62
  5. Step 5: Solve for x
    x = 73,867,714,414.62/288,858.20
  6. Step 6: Final answer
    x = 255,723.10

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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.