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Finding the Fourth Proportional to 652,206.90, 978,407.55 and 231,447.54

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Solution

The fourth proportional to 652,206.90, 978,407.55 and 231,447.54 is: 347,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,206.90 : 978,407.55 = 231,447.54 : x
  2. Step 2: Convert to fraction form
    652,206.90/978,407.55 = 231,447.54/x
  3. Step 3: Cross multiply
    652,206.90x = 978,407.55 × 231,447.54
  4. Step 4: Simplify right side
    652,206.90x = 226,450,020,564.93
  5. Step 5: Solve for x
    x = 226,450,020,564.93/652,206.90
  6. Step 6: Final answer
    x = 347,205.80

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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.