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Finding the Fourth Proportional to 358,705.28, 494,894.80 and 231,465.44

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Solution

The fourth proportional to 358,705.28, 494,894.80 and 231,465.44 is: 319,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,705.28 : 494,894.80 = 231,465.44 : x
  2. Step 2: Convert to fraction form
    358,705.28/494,894.80 = 231,465.44/x
  3. Step 3: Cross multiply
    358,705.28x = 494,894.80 × 231,465.44
  4. Step 4: Simplify right side
    358,705.28x = 114,551,042,635.71
  5. Step 5: Solve for x
    x = 114,551,042,635.71/358,705.28
  6. Step 6: Final answer
    x = 319,345.85

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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.