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Finding the Fourth Proportional to 652,394.56, 978,357.12 and 225,814.52

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Solution

The fourth proportional to 652,394.56, 978,357.12 and 225,814.52 is: 338,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,394.56 : 978,357.12 = 225,814.52 : x
  2. Step 2: Convert to fraction form
    652,394.56/978,357.12 = 225,814.52/x
  3. Step 3: Cross multiply
    652,394.56x = 978,357.12 × 225,814.52
  4. Step 4: Simplify right side
    652,394.56x = 220,927,243,441.38
  5. Step 5: Solve for x
    x = 220,927,243,441.38/652,394.56
  6. Step 6: Final answer
    x = 338,640.54

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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.