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Finding the Fourth Proportional to 408,203.40, 612,307.05 and 123,896.42

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Solution

The fourth proportional to 408,203.40, 612,307.05 and 123,896.42 is: 185,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,203.40 : 612,307.05 = 123,896.42 : x
  2. Step 2: Convert to fraction form
    408,203.40/612,307.05 = 123,896.42/x
  3. Step 3: Cross multiply
    408,203.40x = 612,307.05 × 123,896.42
  4. Step 4: Simplify right side
    408,203.40x = 75,862,648,374.23
  5. Step 5: Solve for x
    x = 75,862,648,374.23/408,203.40
  6. Step 6: Final answer
    x = 185,845.21

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1.5x scale

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.