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Finding the Fourth Proportional to 357,426.16, 493,213.16 and 206,519.92

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Solution

The fourth proportional to 357,426.16, 493,213.16 and 206,519.92 is: 284,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,426.16 : 493,213.16 = 206,519.92 : x
  2. Step 2: Convert to fraction form
    357,426.16/493,213.16 = 206,519.92/x
  3. Step 3: Cross multiply
    357,426.16x = 493,213.16 × 206,519.92
  4. Step 4: Simplify right side
    357,426.16x = 101,858,342,346.15
  5. Step 5: Solve for x
    x = 101,858,342,346.15/357,426.16
  6. Step 6: Final answer
    x = 284,977.30

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1.5x scale

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.