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Finding the Fourth Proportional to 285,748.32, 428,640.31 and 75,386.46

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Solution

The fourth proportional to 285,748.32, 428,640.31 and 75,386.46 is: 113,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,748.32 : 428,640.31 = 75,386.46 : x
  2. Step 2: Convert to fraction form
    285,748.32/428,640.31 = 75,386.46/x
  3. Step 3: Cross multiply
    285,748.32x = 428,640.31 × 75,386.46
  4. Step 4: Simplify right side
    285,748.32x = 32,313,677,003.14
  5. Step 5: Solve for x
    x = 32,313,677,003.14/285,748.32
  6. Step 6: Final answer
    x = 113,084.40

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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.