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Finding the Fourth Proportional to 215,886.24, 321,658.80 and 203,814

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Solution

The fourth proportional to 215,886.24, 321,658.80 and 203,814 is: 303,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,886.24 : 321,658.80 = 203,814 : x
  2. Step 2: Convert to fraction form
    215,886.24/321,658.80 = 203,814/x
  3. Step 3: Cross multiply
    215,886.24x = 321,658.80 × 203,814
  4. Step 4: Simplify right side
    215,886.24x = 65,558,566,663.20
  5. Step 5: Solve for x
    x = 65,558,566,663.20/215,886.24
  6. Step 6: Final answer
    x = 303,671.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.