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Finding the Fourth Proportional to 288,015.89, 431,985.89 and 85,607.69

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Solution

The fourth proportional to 288,015.89, 431,985.89 and 85,607.69 is: 128,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,015.89 : 431,985.89 = 85,607.69 : x
  2. Step 2: Convert to fraction form
    288,015.89/431,985.89 = 85,607.69/x
  3. Step 3: Cross multiply
    288,015.89x = 431,985.89 × 85,607.69
  4. Step 4: Simplify right side
    288,015.89x = 36,981,312,209.58
  5. Step 5: Solve for x
    x = 36,981,312,209.58/288,015.89
  6. Step 6: Final answer
    x = 128,400.25

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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.