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Finding the Fourth Proportional to 469,164.42, 647,431.11 and 278,064.36

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Solution

The fourth proportional to 469,164.42, 647,431.11 and 278,064.36 is: 383,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,164.42 : 647,431.11 = 278,064.36 : x
  2. Step 2: Convert to fraction form
    469,164.42/647,431.11 = 278,064.36/x
  3. Step 3: Cross multiply
    469,164.42x = 647,431.11 × 278,064.36
  4. Step 4: Simplify right side
    469,164.42x = 180,027,517,246.24
  5. Step 5: Solve for x
    x = 180,027,517,246.24/469,164.42
  6. Step 6: Final answer
    x = 383,719.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.