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Finding the Fourth Proportional to 315,826.38, 435,866.31 and 179,902.91

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Solution

The fourth proportional to 315,826.38, 435,866.31 and 179,902.91 is: 248,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,826.38 : 435,866.31 = 179,902.91 : x
  2. Step 2: Convert to fraction form
    315,826.38/435,866.31 = 179,902.91/x
  3. Step 3: Cross multiply
    315,826.38x = 435,866.31 × 179,902.91
  4. Step 4: Simplify right side
    315,826.38x = 78,413,615,360.63
  5. Step 5: Solve for x
    x = 78,413,615,360.63/315,826.38
  6. Step 6: Final answer
    x = 248,280.77

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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.