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Finding the Fourth Proportional to 272,893.20, 409,339.80 and 198,535.20

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Solution

The fourth proportional to 272,893.20, 409,339.80 and 198,535.20 is: 297,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,893.20 : 409,339.80 = 198,535.20 : x
  2. Step 2: Convert to fraction form
    272,893.20/409,339.80 = 198,535.20/x
  3. Step 3: Cross multiply
    272,893.20x = 409,339.80 × 198,535.20
  4. Step 4: Simplify right side
    272,893.20x = 81,268,359,060.96
  5. Step 5: Solve for x
    x = 81,268,359,060.96/272,893.20
  6. Step 6: Final answer
    x = 297,802.80

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1.5x scale

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.