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Finding the Fourth Proportional to 202,728.96, 304,093.44 and 140,443.20

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Solution

The fourth proportional to 202,728.96, 304,093.44 and 140,443.20 is: 210,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,728.96 : 304,093.44 = 140,443.20 : x
  2. Step 2: Convert to fraction form
    202,728.96/304,093.44 = 140,443.20/x
  3. Step 3: Cross multiply
    202,728.96x = 304,093.44 × 140,443.20
  4. Step 4: Simplify right side
    202,728.96x = 42,707,855,812.61
  5. Step 5: Solve for x
    x = 42,707,855,812.61/202,728.96
  6. Step 6: Final answer
    x = 210,664.80

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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.