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Finding the Fourth Proportional to 431,344.80, 647,017.20 and 218,768.40

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Solution

The fourth proportional to 431,344.80, 647,017.20 and 218,768.40 is: 328,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,344.80 : 647,017.20 = 218,768.40 : x
  2. Step 2: Convert to fraction form
    431,344.80/647,017.20 = 218,768.40/x
  3. Step 3: Cross multiply
    431,344.80x = 647,017.20 × 218,768.40
  4. Step 4: Simplify right side
    431,344.80x = 141,546,917,616.48
  5. Step 5: Solve for x
    x = 141,546,917,616.48/431,344.80
  6. Step 6: Final answer
    x = 328,152.60

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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.