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Finding the Fourth Proportional to 652,668.16, 978,422.40 and 231,888.64

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Solution

The fourth proportional to 652,668.16, 978,422.40 and 231,888.64 is: 347,626.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,668.16 : 978,422.40 = 231,888.64 : x
  2. Step 2: Convert to fraction form
    652,668.16/978,422.40 = 231,888.64/x
  3. Step 3: Cross multiply
    652,668.16x = 978,422.40 × 231,888.64
  4. Step 4: Simplify right side
    652,668.16x = 226,885,039,681.54
  5. Step 5: Solve for x
    x = 226,885,039,681.54/652,668.16
  6. Step 6: Final answer
    x = 347,626.95

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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.