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Finding the Fourth Proportional to 645,314.75, 967,963.92 and 290,077.61

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Solution

The fourth proportional to 645,314.75, 967,963.92 and 290,077.61 is: 435,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,314.75 : 967,963.92 = 290,077.61 : x
  2. Step 2: Convert to fraction form
    645,314.75/967,963.92 = 290,077.61/x
  3. Step 3: Cross multiply
    645,314.75x = 967,963.92 × 290,077.61
  4. Step 4: Simplify right side
    645,314.75x = 280,784,656,183.91
  5. Step 5: Solve for x
    x = 280,784,656,183.91/645,314.75
  6. Step 6: Final answer
    x = 435,112.72

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1.5x scale

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.