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Finding the Fourth Proportional to 212,718.30, 319,077.45 and 162,951.90

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Solution

The fourth proportional to 212,718.30, 319,077.45 and 162,951.90 is: 244,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,718.30 : 319,077.45 = 162,951.90 : x
  2. Step 2: Convert to fraction form
    212,718.30/319,077.45 = 162,951.90/x
  3. Step 3: Cross multiply
    212,718.30x = 319,077.45 × 162,951.90
  4. Step 4: Simplify right side
    212,718.30x = 51,994,276,724.66
  5. Step 5: Solve for x
    x = 51,994,276,724.66/212,718.30
  6. Step 6: Final answer
    x = 244,427.85

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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.