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Finding the Fourth Proportional to 652,318.80, 978,434.19 and 178,964.52

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Solution

The fourth proportional to 652,318.80, 978,434.19 and 178,964.52 is: 268,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,318.80 : 978,434.19 = 178,964.52 : x
  2. Step 2: Convert to fraction form
    652,318.80/978,434.19 = 178,964.52/x
  3. Step 3: Cross multiply
    652,318.80x = 978,434.19 × 178,964.52
  4. Step 4: Simplify right side
    652,318.80x = 175,105,005,164.94
  5. Step 5: Solve for x
    x = 175,105,005,164.94/652,318.80
  6. Step 6: Final answer
    x = 268,434.71

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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.