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Finding the Fourth Proportional to 652,728.32, 978,904.32 and 179,429.12

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Solution

The fourth proportional to 652,728.32, 978,904.32 and 179,429.12 is: 269,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,728.32 : 978,904.32 = 179,429.12 : x
  2. Step 2: Convert to fraction form
    652,728.32/978,904.32 = 179,429.12/x
  3. Step 3: Cross multiply
    652,728.32x = 978,904.32 × 179,429.12
  4. Step 4: Simplify right side
    652,728.32x = 175,643,940,701.80
  5. Step 5: Solve for x
    x = 175,643,940,701.80/652,728.32
  6. Step 6: Final answer
    x = 269,091.96

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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.