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Finding the Fourth Proportional to 285,756.68, 428,658.39 and 143,528.82

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Solution

The fourth proportional to 285,756.68, 428,658.39 and 143,528.82 is: 215,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,756.68 : 428,658.39 = 143,528.82 : x
  2. Step 2: Convert to fraction form
    285,756.68/428,658.39 = 143,528.82/x
  3. Step 3: Cross multiply
    285,756.68x = 428,658.39 × 143,528.82
  4. Step 4: Simplify right side
    285,756.68x = 61,524,832,899.80
  5. Step 5: Solve for x
    x = 61,524,832,899.80/285,756.68
  6. Step 6: Final answer
    x = 215,304.97

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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.