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Finding the Fourth Proportional to 357,782.07, 493,728.79 and 204,815.19

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Solution

The fourth proportional to 357,782.07, 493,728.79 and 204,815.19 is: 282,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,782.07 : 493,728.79 = 204,815.19 : x
  2. Step 2: Convert to fraction form
    357,782.07/493,728.79 = 204,815.19/x
  3. Step 3: Cross multiply
    357,782.07x = 493,728.79 × 204,815.19
  4. Step 4: Simplify right side
    357,782.07x = 101,123,155,932.32
  5. Step 5: Solve for x
    x = 101,123,155,932.32/357,782.07
  6. Step 6: Final answer
    x = 282,638.97

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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.