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Finding the Fourth Proportional to 358,142.96, 494,212.92 and 207,262.64

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Solution

The fourth proportional to 358,142.96, 494,212.92 and 207,262.64 is: 286,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,142.96 : 494,212.92 = 207,262.64 : x
  2. Step 2: Convert to fraction form
    358,142.96/494,212.92 = 207,262.64/x
  3. Step 3: Cross multiply
    358,142.96x = 494,212.92 × 207,262.64
  4. Step 4: Simplify right side
    358,142.96x = 102,431,874,521.31
  5. Step 5: Solve for x
    x = 102,431,874,521.31/358,142.96
  6. Step 6: Final answer
    x = 286,008.34

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1.5x scale

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.