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Finding the Fourth Proportional to 437,104.46, 655,490.61 and 209,166.10

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Solution

The fourth proportional to 437,104.46, 655,490.61 and 209,166.10 is: 313,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,104.46 : 655,490.61 = 209,166.10 : x
  2. Step 2: Convert to fraction form
    437,104.46/655,490.61 = 209,166.10/x
  3. Step 3: Cross multiply
    437,104.46x = 655,490.61 × 209,166.10
  4. Step 4: Simplify right side
    437,104.46x = 137,106,414,480.32
  5. Step 5: Solve for x
    x = 137,106,414,480.32/437,104.46
  6. Step 6: Final answer
    x = 313,669.68

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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.