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Finding the Fourth Proportional to 652,507.92, 978,749.64 and 268,175.88

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Solution

The fourth proportional to 652,507.92, 978,749.64 and 268,175.88 is: 402,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,507.92 : 978,749.64 = 268,175.88 : x
  2. Step 2: Convert to fraction form
    652,507.92/978,749.64 = 268,175.88/x
  3. Step 3: Cross multiply
    652,507.92x = 978,749.64 × 268,175.88
  4. Step 4: Simplify right side
    652,507.92x = 262,477,046,006.68
  5. Step 5: Solve for x
    x = 262,477,046,006.68/652,507.92
  6. Step 6: Final answer
    x = 402,258.79

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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.