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Finding the Fourth Proportional to 323,886.24, 485,774.28 and 87,176.16

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Solution

The fourth proportional to 323,886.24, 485,774.28 and 87,176.16 is: 130,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,886.24 : 485,774.28 = 87,176.16 : x
  2. Step 2: Convert to fraction form
    323,886.24/485,774.28 = 87,176.16/x
  3. Step 3: Cross multiply
    323,886.24x = 485,774.28 × 87,176.16
  4. Step 4: Simplify right side
    323,886.24x = 42,347,936,357.16
  5. Step 5: Solve for x
    x = 42,347,936,357.16/323,886.24
  6. Step 6: Final answer
    x = 130,749.41

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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.