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Finding the Fourth Proportional to 298,935.32, 448,093.96 and 138,880.68

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Solution

The fourth proportional to 298,935.32, 448,093.96 and 138,880.68 is: 208,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,935.32 : 448,093.96 = 138,880.68 : x
  2. Step 2: Convert to fraction form
    298,935.32/448,093.96 = 138,880.68/x
  3. Step 3: Cross multiply
    298,935.32x = 448,093.96 × 138,880.68
  4. Step 4: Simplify right side
    298,935.32x = 62,231,593,868.69
  5. Step 5: Solve for x
    x = 62,231,593,868.69/298,935.32
  6. Step 6: Final answer
    x = 208,177.45

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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.