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Finding the Fourth Proportional to 215,488.32, 323,071.24 and 148,737.84

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Solution

The fourth proportional to 215,488.32, 323,071.24 and 148,737.84 is: 222,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,488.32 : 323,071.24 = 148,737.84 : x
  2. Step 2: Convert to fraction form
    215,488.32/323,071.24 = 148,737.84/x
  3. Step 3: Cross multiply
    215,488.32x = 323,071.24 × 148,737.84
  4. Step 4: Simplify right side
    215,488.32x = 48,052,918,403.72
  5. Step 5: Solve for x
    x = 48,052,918,403.72/215,488.32
  6. Step 6: Final answer
    x = 222,995.47

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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.