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Finding the Fourth Proportional to 409,417.20, 614,759.40 and 222,793.20

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Solution

The fourth proportional to 409,417.20, 614,759.40 and 222,793.20 is: 334,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,417.20 : 614,759.40 = 222,793.20 : x
  2. Step 2: Convert to fraction form
    409,417.20/614,759.40 = 222,793.20/x
  3. Step 3: Cross multiply
    409,417.20x = 614,759.40 × 222,793.20
  4. Step 4: Simplify right side
    409,417.20x = 136,964,213,956.08
  5. Step 5: Solve for x
    x = 136,964,213,956.08/409,417.20
  6. Step 6: Final answer
    x = 334,534.59

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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.