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Finding the Fourth Proportional to 647,621.80, 971,432.70 and 253,637.80

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Solution

The fourth proportional to 647,621.80, 971,432.70 and 253,637.80 is: 380,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,621.80 : 971,432.70 = 253,637.80 : x
  2. Step 2: Convert to fraction form
    647,621.80/971,432.70 = 253,637.80/x
  3. Step 3: Cross multiply
    647,621.80x = 971,432.70 × 253,637.80
  4. Step 4: Simplify right side
    647,621.80x = 246,392,052,876.06
  5. Step 5: Solve for x
    x = 246,392,052,876.06/647,621.80
  6. Step 6: Final answer
    x = 380,456.70

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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.