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Finding the Fourth Proportional to 312,427.10, 468,531.30 and 162,617.60

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Solution

The fourth proportional to 312,427.10, 468,531.30 and 162,617.60 is: 243,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,427.10 : 468,531.30 = 162,617.60 : x
  2. Step 2: Convert to fraction form
    312,427.10/468,531.30 = 162,617.60/x
  3. Step 3: Cross multiply
    312,427.10x = 468,531.30 × 162,617.60
  4. Step 4: Simplify right side
    312,427.10x = 76,191,435,530.88
  5. Step 5: Solve for x
    x = 76,191,435,530.88/312,427.10
  6. Step 6: Final answer
    x = 243,869.48

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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.