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Finding the Fourth Proportional to 298,703.28, 447,957.54 and 109,120.08

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Solution

The fourth proportional to 298,703.28, 447,957.54 and 109,120.08 is: 163,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,703.28 : 447,957.54 = 109,120.08 : x
  2. Step 2: Convert to fraction form
    298,703.28/447,957.54 = 109,120.08/x
  3. Step 3: Cross multiply
    298,703.28x = 447,957.54 × 109,120.08
  4. Step 4: Simplify right side
    298,703.28x = 48,881,162,601.40
  5. Step 5: Solve for x
    x = 48,881,162,601.40/298,703.28
  6. Step 6: Final answer
    x = 163,644.55

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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.