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Finding the Fourth Proportional to 312,288.78, 468,363.09 and 143,647.14

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Solution

The fourth proportional to 312,288.78, 468,363.09 and 143,647.14 is: 215,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288.78 : 468,363.09 = 143,647.14 : x
  2. Step 2: Convert to fraction form
    312,288.78/468,363.09 = 143,647.14/x
  3. Step 3: Cross multiply
    312,288.78x = 468,363.09 × 143,647.14
  4. Step 4: Simplify right side
    312,288.78x = 67,279,018,360.06
  5. Step 5: Solve for x
    x = 67,279,018,360.06/312,288.78
  6. Step 6: Final answer
    x = 215,438.47

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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.