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Finding the Fourth Proportional to 408,283.63, 612,549.98 and 208,744.10

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Solution

The fourth proportional to 408,283.63, 612,549.98 and 208,744.10 is: 313,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,283.63 : 612,549.98 = 208,744.10 : x
  2. Step 2: Convert to fraction form
    408,283.63/612,549.98 = 208,744.10/x
  3. Step 3: Cross multiply
    408,283.63x = 612,549.98 × 208,744.10
  4. Step 4: Simplify right side
    408,283.63x = 127,866,194,280.12
  5. Step 5: Solve for x
    x = 127,866,194,280.12/408,283.63
  6. Step 6: Final answer
    x = 313,179.82

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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.