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Finding the Fourth Proportional to 288,005.49, 431,992.02 and 88,325.34

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Solution

The fourth proportional to 288,005.49, 431,992.02 and 88,325.34 is: 132,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,005.49 : 431,992.02 = 88,325.34 : x
  2. Step 2: Convert to fraction form
    288,005.49/431,992.02 = 88,325.34/x
  3. Step 3: Cross multiply
    288,005.49x = 431,992.02 × 88,325.34
  4. Step 4: Simplify right side
    288,005.49x = 38,155,842,043.79
  5. Step 5: Solve for x
    x = 38,155,842,043.79/288,005.49
  6. Step 6: Final answer
    x = 132,483.04

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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.