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Finding the Fourth Proportional to 285,433.52, 428,133.80 and 85,749.52

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Solution

The fourth proportional to 285,433.52, 428,133.80 and 85,749.52 is: 128,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,433.52 : 428,133.80 = 85,749.52 : x
  2. Step 2: Convert to fraction form
    285,433.52/428,133.80 = 85,749.52/x
  3. Step 3: Cross multiply
    285,433.52x = 428,133.80 × 85,749.52
  4. Step 4: Simplify right side
    285,433.52x = 36,712,267,845.78
  5. Step 5: Solve for x
    x = 36,712,267,845.78/285,433.52
  6. Step 6: Final answer
    x = 128,619.33

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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.