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Finding the Fourth Proportional to 288,858.12, 433,102.53 and 138,799.80

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Solution

The fourth proportional to 288,858.12, 433,102.53 and 138,799.80 is: 208,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,858.12 : 433,102.53 = 138,799.80 : x
  2. Step 2: Convert to fraction form
    288,858.12/433,102.53 = 138,799.80/x
  3. Step 3: Cross multiply
    288,858.12x = 433,102.53 × 138,799.80
  4. Step 4: Simplify right side
    288,858.12x = 60,114,544,543.49
  5. Step 5: Solve for x
    x = 60,114,544,543.49/288,858.12
  6. Step 6: Final answer
    x = 208,110.97

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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.