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Finding the Fourth Proportional to 314,879.21, 434,516.90 and 178,894.28

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Solution

The fourth proportional to 314,879.21, 434,516.90 and 178,894.28 is: 246,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,879.21 : 434,516.90 = 178,894.28 : x
  2. Step 2: Convert to fraction form
    314,879.21/434,516.90 = 178,894.28/x
  3. Step 3: Cross multiply
    314,879.21x = 434,516.90 × 178,894.28
  4. Step 4: Simplify right side
    314,879.21x = 77,732,585,800.75
  5. Step 5: Solve for x
    x = 77,732,585,800.75/314,879.21
  6. Step 6: Final answer
    x = 246,864.78

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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.