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Finding the Fourth Proportional to 357,454.80, 493,299.72 and 204,518.16

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Solution

The fourth proportional to 357,454.80, 493,299.72 and 204,518.16 is: 282,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,454.80 : 493,299.72 = 204,518.16 : x
  2. Step 2: Convert to fraction form
    357,454.80/493,299.72 = 204,518.16/x
  3. Step 3: Cross multiply
    357,454.80x = 493,299.72 × 204,518.16
  4. Step 4: Simplify right side
    357,454.80x = 100,888,751,062.92
  5. Step 5: Solve for x
    x = 100,888,751,062.92/357,454.80
  6. Step 6: Final answer
    x = 282,241.98

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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.