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Finding the Fourth Proportional to 438,144, 657,150.08 and 122,560

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Solution

The fourth proportional to 438,144, 657,150.08 and 122,560 is: 183,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,144 : 657,150.08 = 122,560 : x
  2. Step 2: Convert to fraction form
    438,144/657,150.08 = 122,560/x
  3. Step 3: Cross multiply
    438,144x = 657,150.08 × 122,560
  4. Step 4: Simplify right side
    438,144x = 80,540,313,804.80
  5. Step 5: Solve for x
    x = 80,540,313,804.80/438,144
  6. Step 6: Final answer
    x = 183,821.56

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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.