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Finding the Fourth Proportional to 609,204.90, 914,645.85 and 309,888

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Solution

The fourth proportional to 609,204.90, 914,645.85 and 309,888 is: 465,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,204.90 : 914,645.85 = 309,888 : x
  2. Step 2: Convert to fraction form
    609,204.90/914,645.85 = 309,888/x
  3. Step 3: Cross multiply
    609,204.90x = 914,645.85 × 309,888
  4. Step 4: Simplify right side
    609,204.90x = 283,437,773,164.80
  5. Step 5: Solve for x
    x = 283,437,773,164.80/609,204.90
  6. Step 6: Final answer
    x = 465,258.52

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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.