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Finding the Fourth Proportional to 688,053.78, 949,482 and 382,149.90

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Solution

The fourth proportional to 688,053.78, 949,482 and 382,149.90 is: 527,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,053.78 : 949,482 = 382,149.90 : x
  2. Step 2: Convert to fraction form
    688,053.78/949,482 = 382,149.90/x
  3. Step 3: Cross multiply
    688,053.78x = 949,482 × 382,149.90
  4. Step 4: Simplify right side
    688,053.78x = 362,844,451,351.80
  5. Step 5: Solve for x
    x = 362,844,451,351.80/688,053.78
  6. Step 6: Final answer
    x = 527,348.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.