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Finding the Fourth Proportional to 285,043.24, 393,188.24 and 188,248

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Solution

The fourth proportional to 285,043.24, 393,188.24 and 188,248 is: 259,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,043.24 : 393,188.24 = 188,248 : x
  2. Step 2: Convert to fraction form
    285,043.24/393,188.24 = 188,248/x
  3. Step 3: Cross multiply
    285,043.24x = 393,188.24 × 188,248
  4. Step 4: Simplify right side
    285,043.24x = 74,016,899,803.52
  5. Step 5: Solve for x
    x = 74,016,899,803.52/285,043.24
  6. Step 6: Final answer
    x = 259,669.02

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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.