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Finding the Fourth Proportional to 418,741.20, 628,111.80 and 353,787.30

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Solution

The fourth proportional to 418,741.20, 628,111.80 and 353,787.30 is: 530,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,741.20 : 628,111.80 = 353,787.30 : x
  2. Step 2: Convert to fraction form
    418,741.20/628,111.80 = 353,787.30/x
  3. Step 3: Cross multiply
    418,741.20x = 628,111.80 × 353,787.30
  4. Step 4: Simplify right side
    418,741.20x = 222,217,977,820.14
  5. Step 5: Solve for x
    x = 222,217,977,820.14/418,741.20
  6. Step 6: Final answer
    x = 530,680.95

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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.