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Finding the Fourth Proportional to 358,188.16, 494,244.84 and 207,256

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Solution

The fourth proportional to 358,188.16, 494,244.84 and 207,256 is: 285,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,188.16 : 494,244.84 = 207,256 : x
  2. Step 2: Convert to fraction form
    358,188.16/494,244.84 = 207,256/x
  3. Step 3: Cross multiply
    358,188.16x = 494,244.84 × 207,256
  4. Step 4: Simplify right side
    358,188.16x = 102,435,208,559.04
  5. Step 5: Solve for x
    x = 102,435,208,559.04/358,188.16
  6. Step 6: Final answer
    x = 285,981.56

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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.