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Finding the Fourth Proportional to 686,432.80, 1,029,649.20 and 371,504.80

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Solution

The fourth proportional to 686,432.80, 1,029,649.20 and 371,504.80 is: 557,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,432.80 : 1,029,649.20 = 371,504.80 : x
  2. Step 2: Convert to fraction form
    686,432.80/1,029,649.20 = 371,504.80/x
  3. Step 3: Cross multiply
    686,432.80x = 1,029,649.20 × 371,504.80
  4. Step 4: Simplify right side
    686,432.80x = 382,519,620,116.16
  5. Step 5: Solve for x
    x = 382,519,620,116.16/686,432.80
  6. Step 6: Final answer
    x = 557,257.20

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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.