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Finding the Fourth Proportional to 321,137.64, 442,158.86 and 272,643.65

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Solution

The fourth proportional to 321,137.64, 442,158.86 and 272,643.65 is: 375,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,137.64 : 442,158.86 = 272,643.65 : x
  2. Step 2: Convert to fraction form
    321,137.64/442,158.86 = 272,643.65/x
  3. Step 3: Cross multiply
    321,137.64x = 442,158.86 × 272,643.65
  4. Step 4: Simplify right side
    321,137.64x = 120,551,807,257.25
  5. Step 5: Solve for x
    x = 120,551,807,257.25/321,137.64
  6. Step 6: Final answer
    x = 375,389.84

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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.