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Finding the Fourth Proportional to 418,785.66, 628,541.10 and 219,245.58

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Solution

The fourth proportional to 418,785.66, 628,541.10 and 219,245.58 is: 329,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,785.66 : 628,541.10 = 219,245.58 : x
  2. Step 2: Convert to fraction form
    418,785.66/628,541.10 = 219,245.58/x
  3. Step 3: Cross multiply
    418,785.66x = 628,541.10 × 219,245.58
  4. Step 4: Simplify right side
    418,785.66x = 137,804,858,023.34
  5. Step 5: Solve for x
    x = 137,804,858,023.34/418,785.66
  6. Step 6: Final answer
    x = 329,058.21

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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.