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Finding the Fourth Proportional to 427,077.60, 640,616.40 and 270,002.40

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Solution

The fourth proportional to 427,077.60, 640,616.40 and 270,002.40 is: 405,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,077.60 : 640,616.40 = 270,002.40 : x
  2. Step 2: Convert to fraction form
    427,077.60/640,616.40 = 270,002.40/x
  3. Step 3: Cross multiply
    427,077.60x = 640,616.40 × 270,002.40
  4. Step 4: Simplify right side
    427,077.60x = 172,967,965,479.36
  5. Step 5: Solve for x
    x = 172,967,965,479.36/427,077.60
  6. Step 6: Final answer
    x = 405,003.60

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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.