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Finding the Fourth Proportional to 340,376.64, 469,848.30 and 267,589.65

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Solution

The fourth proportional to 340,376.64, 469,848.30 and 267,589.65 is: 369,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,376.64 : 469,848.30 = 267,589.65 : x
  2. Step 2: Convert to fraction form
    340,376.64/469,848.30 = 267,589.65/x
  3. Step 3: Cross multiply
    340,376.64x = 469,848.30 × 267,589.65
  4. Step 4: Simplify right side
    340,376.64x = 125,726,542,150.10
  5. Step 5: Solve for x
    x = 125,726,542,150.10/340,376.64
  6. Step 6: Final answer
    x = 369,374.77

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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.