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Finding the Fourth Proportional to 288,766, 433,323.96 and 122,554

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Solution

The fourth proportional to 288,766, 433,323.96 and 122,554 is: 183,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,766 : 433,323.96 = 122,554 : x
  2. Step 2: Convert to fraction form
    288,766/433,323.96 = 122,554/x
  3. Step 3: Cross multiply
    288,766x = 433,323.96 × 122,554
  4. Step 4: Simplify right side
    288,766x = 53,105,584,593.84
  5. Step 5: Solve for x
    x = 53,105,584,593.84/288,766
  6. Step 6: Final answer
    x = 183,905.25

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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.