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Finding the Fourth Proportional to 357,745.80, 493,708.12 and 202,727.18

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Solution

The fourth proportional to 357,745.80, 493,708.12 and 202,727.18 is: 279,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,745.80 : 493,708.12 = 202,727.18 : x
  2. Step 2: Convert to fraction form
    357,745.80/493,708.12 = 202,727.18/x
  3. Step 3: Cross multiply
    357,745.80x = 493,708.12 × 202,727.18
  4. Step 4: Simplify right side
    357,745.80x = 100,088,052,861.05
  5. Step 5: Solve for x
    x = 100,088,052,861.05/357,745.80
  6. Step 6: Final answer
    x = 279,774.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.