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Finding the Fourth Proportional to 277,894.81, 417,400.20 and 165,794.05

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Solution

The fourth proportional to 277,894.81, 417,400.20 and 165,794.05 is: 249,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,894.81 : 417,400.20 = 165,794.05 : x
  2. Step 2: Convert to fraction form
    277,894.81/417,400.20 = 165,794.05/x
  3. Step 3: Cross multiply
    277,894.81x = 417,400.20 × 165,794.05
  4. Step 4: Simplify right side
    277,894.81x = 69,202,468,585.31
  5. Step 5: Solve for x
    x = 69,202,468,585.31/277,894.81
  6. Step 6: Final answer
    x = 249,023.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.