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Finding the Fourth Proportional to 617,084.46, 925,742.56 and 280,148.86

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Solution

The fourth proportional to 617,084.46, 925,742.56 and 280,148.86 is: 420,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,084.46 : 925,742.56 = 280,148.86 : x
  2. Step 2: Convert to fraction form
    617,084.46/925,742.56 = 280,148.86/x
  3. Step 3: Cross multiply
    617,084.46x = 925,742.56 × 280,148.86
  4. Step 4: Simplify right side
    617,084.46x = 259,345,718,208.77
  5. Step 5: Solve for x
    x = 259,345,718,208.77/617,084.46
  6. Step 6: Final answer
    x = 420,275.89

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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.