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Finding the Fourth Proportional to 330,657.60, 495,986.40 and 197,947.20

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Solution

The fourth proportional to 330,657.60, 495,986.40 and 197,947.20 is: 296,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,657.60 : 495,986.40 = 197,947.20 : x
  2. Step 2: Convert to fraction form
    330,657.60/495,986.40 = 197,947.20/x
  3. Step 3: Cross multiply
    330,657.60x = 495,986.40 × 197,947.20
  4. Step 4: Simplify right side
    330,657.60x = 98,179,119,118.08
  5. Step 5: Solve for x
    x = 98,179,119,118.08/330,657.60
  6. Step 6: Final answer
    x = 296,920.80

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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.