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Finding the Fourth Proportional to 312,478.40, 469,082.10 and 162,887.60

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Solution

The fourth proportional to 312,478.40, 469,082.10 and 162,887.60 is: 244,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,478.40 : 469,082.10 = 162,887.60 : x
  2. Step 2: Convert to fraction form
    312,478.40/469,082.10 = 162,887.60/x
  3. Step 3: Cross multiply
    312,478.40x = 469,082.10 × 162,887.60
  4. Step 4: Simplify right side
    312,478.40x = 76,407,657,471.96
  5. Step 5: Solve for x
    x = 76,407,657,471.96/312,478.40
  6. Step 6: Final answer
    x = 244,521.41

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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.