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Finding the Fourth Proportional to 417,977.60, 627,235.20 and 231,123.20

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Solution

The fourth proportional to 417,977.60, 627,235.20 and 231,123.20 is: 346,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,977.60 : 627,235.20 = 231,123.20 : x
  2. Step 2: Convert to fraction form
    417,977.60/627,235.20 = 231,123.20/x
  3. Step 3: Cross multiply
    417,977.60x = 627,235.20 × 231,123.20
  4. Step 4: Simplify right side
    417,977.60x = 144,968,606,576.64
  5. Step 5: Solve for x
    x = 144,968,606,576.64/417,977.60
  6. Step 6: Final answer
    x = 346,833.43

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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.