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Finding the Fourth Proportional to 378,856.36, 568,391.16 and 165,643.00

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Solution

The fourth proportional to 378,856.36, 568,391.16 and 165,643.00 is: 248,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,856.36 : 568,391.16 = 165,643.00 : x
  2. Step 2: Convert to fraction form
    378,856.36/568,391.16 = 165,643.00/x
  3. Step 3: Cross multiply
    378,856.36x = 568,391.16 × 165,643.00
  4. Step 4: Simplify right side
    378,856.36x = 94,150,013,245.71
  5. Step 5: Solve for x
    x = 94,150,013,245.71/378,856.36
  6. Step 6: Final answer
    x = 248,511.11

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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.