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Finding the Fourth Proportional to 686,704.60, 1,029,959.70 and 213,437.80

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Solution

The fourth proportional to 686,704.60, 1,029,959.70 and 213,437.80 is: 320,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,704.60 : 1,029,959.70 = 213,437.80 : x
  2. Step 2: Convert to fraction form
    686,704.60/1,029,959.70 = 213,437.80/x
  3. Step 3: Cross multiply
    686,704.60x = 1,029,959.70 × 213,437.80
  4. Step 4: Simplify right side
    686,704.60x = 219,832,332,456.66
  5. Step 5: Solve for x
    x = 219,832,332,456.66/686,704.60
  6. Step 6: Final answer
    x = 320,126.49

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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.