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Finding the Fourth Proportional to 647,458.74, 971,287.97 and 220,894.65

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Solution

The fourth proportional to 647,458.74, 971,287.97 and 220,894.65 is: 331,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,458.74 : 971,287.97 = 220,894.65 : x
  2. Step 2: Convert to fraction form
    647,458.74/971,287.97 = 220,894.65/x
  3. Step 3: Cross multiply
    647,458.74x = 971,287.97 × 220,894.65
  4. Step 4: Simplify right side
    647,458.74x = 214,552,315,077.89
  5. Step 5: Solve for x
    x = 214,552,315,077.89/647,458.74
  6. Step 6: Final answer
    x = 331,376.04

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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.