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Finding the Fourth Proportional to 686,098, 1,029,498 and 326,675.44

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Solution

The fourth proportional to 686,098, 1,029,498 and 326,675.44 is: 490,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,098 : 1,029,498 = 326,675.44 : x
  2. Step 2: Convert to fraction form
    686,098/1,029,498 = 326,675.44/x
  3. Step 3: Cross multiply
    686,098x = 1,029,498 × 326,675.44
  4. Step 4: Simplify right side
    686,098x = 336,311,712,129.12
  5. Step 5: Solve for x
    x = 336,311,712,129.12/686,098
  6. Step 6: Final answer
    x = 490,180.28

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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.