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Finding the Fourth Proportional to 198,709.60, 297,718.80 and 163,458.40

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Solution

The fourth proportional to 198,709.60, 297,718.80 and 163,458.40 is: 244,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,709.60 : 297,718.80 = 163,458.40 : x
  2. Step 2: Convert to fraction form
    198,709.60/297,718.80 = 163,458.40/x
  3. Step 3: Cross multiply
    198,709.60x = 297,718.80 × 163,458.40
  4. Step 4: Simplify right side
    198,709.60x = 48,664,638,697.92
  5. Step 5: Solve for x
    x = 48,664,638,697.92/198,709.60
  6. Step 6: Final answer
    x = 244,903.31

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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.