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Finding the Fourth Proportional to 357,139.64, 492,712.40 and 204,095.73

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Solution

The fourth proportional to 357,139.64, 492,712.40 and 204,095.73 is: 281,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,139.64 : 492,712.40 = 204,095.73 : x
  2. Step 2: Convert to fraction form
    357,139.64/492,712.40 = 204,095.73/x
  3. Step 3: Cross multiply
    357,139.64x = 492,712.40 × 204,095.73
  4. Step 4: Simplify right side
    357,139.64x = 100,560,495,620.62
  5. Step 5: Solve for x
    x = 100,560,495,620.62/357,139.64
  6. Step 6: Final answer
    x = 281,571.92

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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.