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Finding the Fourth Proportional to 312,362.40, 468,548.64 and 112,825.92

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Solution

The fourth proportional to 312,362.40, 468,548.64 and 112,825.92 is: 169,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,362.40 : 468,548.64 = 112,825.92 : x
  2. Step 2: Convert to fraction form
    312,362.40/468,548.64 = 112,825.92/x
  3. Step 3: Cross multiply
    312,362.40x = 468,548.64 × 112,825.92
  4. Step 4: Simplify right side
    312,362.40x = 52,864,431,372.75
  5. Step 5: Solve for x
    x = 52,864,431,372.75/312,362.40
  6. Step 6: Final answer
    x = 169,240.70

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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.