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Finding the Fourth Proportional to 288,016.68, 431,975.18 and 130,208.44

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Solution

The fourth proportional to 288,016.68, 431,975.18 and 130,208.44 is: 195,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,016.68 : 431,975.18 = 130,208.44 : x
  2. Step 2: Convert to fraction form
    288,016.68/431,975.18 = 130,208.44/x
  3. Step 3: Cross multiply
    288,016.68x = 431,975.18 × 130,208.44
  4. Step 4: Simplify right side
    288,016.68x = 56,246,814,306.52
  5. Step 5: Solve for x
    x = 56,246,814,306.52/288,016.68
  6. Step 6: Final answer
    x = 195,290.13

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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.