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Finding the Fourth Proportional to 411,972.60, 618,347.70 and 254,508.60

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Solution

The fourth proportional to 411,972.60, 618,347.70 and 254,508.60 is: 382,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,972.60 : 618,347.70 = 254,508.60 : x
  2. Step 2: Convert to fraction form
    411,972.60/618,347.70 = 254,508.60/x
  3. Step 3: Cross multiply
    411,972.60x = 618,347.70 × 254,508.60
  4. Step 4: Simplify right side
    411,972.60x = 157,374,807,440.22
  5. Step 5: Solve for x
    x = 157,374,807,440.22/411,972.60
  6. Step 6: Final answer
    x = 382,003.09

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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.