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Finding the Fourth Proportional to 408,219.40, 612,337.53 and 148,548.12

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Solution

The fourth proportional to 408,219.40, 612,337.53 and 148,548.12 is: 222,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,219.40 : 612,337.53 = 148,548.12 : x
  2. Step 2: Convert to fraction form
    408,219.40/612,337.53 = 148,548.12/x
  3. Step 3: Cross multiply
    408,219.40x = 612,337.53 × 148,548.12
  4. Step 4: Simplify right side
    408,219.40x = 90,961,586,994.26
  5. Step 5: Solve for x
    x = 90,961,586,994.26/408,219.40
  6. Step 6: Final answer
    x = 222,825.24

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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.