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Finding the Fourth Proportional to 640,701.20, 960,825.60 and 281,046.74

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Solution

The fourth proportional to 640,701.20, 960,825.60 and 281,046.74 is: 421,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,701.20 : 960,825.60 = 281,046.74 : x
  2. Step 2: Convert to fraction form
    640,701.20/960,825.60 = 281,046.74/x
  3. Step 3: Cross multiply
    640,701.20x = 960,825.60 × 281,046.74
  4. Step 4: Simplify right side
    640,701.20x = 270,036,902,588.54
  5. Step 5: Solve for x
    x = 270,036,902,588.54/640,701.20
  6. Step 6: Final answer
    x = 421,470.89

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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.