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Finding the Fourth Proportional to 686,448.60, 1,029,672.90 and 213,181.80

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Solution

The fourth proportional to 686,448.60, 1,029,672.90 and 213,181.80 is: 319,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,448.60 : 1,029,672.90 = 213,181.80 : x
  2. Step 2: Convert to fraction form
    686,448.60/1,029,672.90 = 213,181.80/x
  3. Step 3: Cross multiply
    686,448.60x = 1,029,672.90 × 213,181.80
  4. Step 4: Simplify right side
    686,448.60x = 219,507,522,233.22
  5. Step 5: Solve for x
    x = 219,507,522,233.22/686,448.60
  6. Step 6: Final answer
    x = 319,772.70

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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.