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Finding the Fourth Proportional to 218,856.32, 328,284.48 and 52,644.32

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Solution

The fourth proportional to 218,856.32, 328,284.48 and 52,644.32 is: 78,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,856.32 : 328,284.48 = 52,644.32 : x
  2. Step 2: Convert to fraction form
    218,856.32/328,284.48 = 52,644.32/x
  3. Step 3: Cross multiply
    218,856.32x = 328,284.48 × 52,644.32
  4. Step 4: Simplify right side
    218,856.32x = 17,282,313,216.15
  5. Step 5: Solve for x
    x = 17,282,313,216.15/218,856.32
  6. Step 6: Final answer
    x = 78,966.48

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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.