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Finding the Fourth Proportional to 561,615, 842,422.50 and 167,631

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Solution

The fourth proportional to 561,615, 842,422.50 and 167,631 is: 251,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,615 : 842,422.50 = 167,631 : x
  2. Step 2: Convert to fraction form
    561,615/842,422.50 = 167,631/x
  3. Step 3: Cross multiply
    561,615x = 842,422.50 × 167,631
  4. Step 4: Simplify right side
    561,615x = 141,216,126,097.50
  5. Step 5: Solve for x
    x = 141,216,126,097.50/561,615
  6. Step 6: Final answer
    x = 251,446.50

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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.