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Finding the Fourth Proportional to 285,751.34, 428,644.80 and 75,389.48

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Solution

The fourth proportional to 285,751.34, 428,644.80 and 75,389.48 is: 113,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,751.34 : 428,644.80 = 75,389.48 : x
  2. Step 2: Convert to fraction form
    285,751.34/428,644.80 = 75,389.48/x
  3. Step 3: Cross multiply
    285,751.34x = 428,644.80 × 75,389.48
  4. Step 4: Simplify right side
    285,751.34x = 32,315,306,433.48
  5. Step 5: Solve for x
    x = 32,315,306,433.48/285,751.34
  6. Step 6: Final answer
    x = 113,088.91

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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.