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Finding the Fourth Proportional to 521,681.40, 782,781.30 and 206,148.60

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Solution

The fourth proportional to 521,681.40, 782,781.30 and 206,148.60 is: 309,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,681.40 : 782,781.30 = 206,148.60 : x
  2. Step 2: Convert to fraction form
    521,681.40/782,781.30 = 206,148.60/x
  3. Step 3: Cross multiply
    521,681.40x = 782,781.30 × 206,148.60
  4. Step 4: Simplify right side
    521,681.40x = 161,369,269,101.18
  5. Step 5: Solve for x
    x = 161,369,269,101.18/521,681.40
  6. Step 6: Final answer
    x = 309,325.33

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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.