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Finding the Fourth Proportional to 409,411.20, 614,750.40 and 222,787.20

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Solution

The fourth proportional to 409,411.20, 614,750.40 and 222,787.20 is: 334,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411.20 : 614,750.40 = 222,787.20 : x
  2. Step 2: Convert to fraction form
    409,411.20/614,750.40 = 222,787.20/x
  3. Step 3: Cross multiply
    409,411.20x = 614,750.40 × 222,787.20
  4. Step 4: Simplify right side
    409,411.20x = 136,958,520,314.88
  5. Step 5: Solve for x
    x = 136,958,520,314.88/409,411.20
  6. Step 6: Final answer
    x = 334,525.58

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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.