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Finding the Fourth Proportional to 658,250.18, 987,409.44 and 209,006.22

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Solution

The fourth proportional to 658,250.18, 987,409.44 and 209,006.22 is: 313,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,250.18 : 987,409.44 = 209,006.22 : x
  2. Step 2: Convert to fraction form
    658,250.18/987,409.44 = 209,006.22/x
  3. Step 3: Cross multiply
    658,250.18x = 987,409.44 × 209,006.22
  4. Step 4: Simplify right side
    658,250.18x = 206,374,714,646.72
  5. Step 5: Solve for x
    x = 206,374,714,646.72/658,250.18
  6. Step 6: Final answer
    x = 313,520.18

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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.