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Finding the Fourth Proportional to 543,955.91, 815,740.78 and 159,597.49

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Solution

The fourth proportional to 543,955.91, 815,740.78 and 159,597.49 is: 239,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,955.91 : 815,740.78 = 159,597.49 : x
  2. Step 2: Convert to fraction form
    543,955.91/815,740.78 = 159,597.49/x
  3. Step 3: Cross multiply
    543,955.91x = 815,740.78 × 159,597.49
  4. Step 4: Simplify right side
    543,955.91x = 130,190,180,978.64
  5. Step 5: Solve for x
    x = 130,190,180,978.64/543,955.91
  6. Step 6: Final answer
    x = 239,339.58

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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.