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Finding the Fourth Proportional to 312,140.40, 467,519.40 and 256,844.40

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Solution

The fourth proportional to 312,140.40, 467,519.40 and 256,844.40 is: 384,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,140.40 : 467,519.40 = 256,844.40 : x
  2. Step 2: Convert to fraction form
    312,140.40/467,519.40 = 256,844.40/x
  3. Step 3: Cross multiply
    312,140.40x = 467,519.40 × 256,844.40
  4. Step 4: Simplify right side
    312,140.40x = 120,079,739,781.36
  5. Step 5: Solve for x
    x = 120,079,739,781.36/312,140.40
  6. Step 6: Final answer
    x = 384,697.85

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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.