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Finding the Fourth Proportional to 297,427.78, 410,407.02 and 170,078.77

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Solution

The fourth proportional to 297,427.78, 410,407.02 and 170,078.77 is: 234,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,427.78 : 410,407.02 = 170,078.77 : x
  2. Step 2: Convert to fraction form
    297,427.78/410,407.02 = 170,078.77/x
  3. Step 3: Cross multiply
    297,427.78x = 410,407.02 × 170,078.77
  4. Step 4: Simplify right side
    297,427.78x = 69,801,521,673.97
  5. Step 5: Solve for x
    x = 69,801,521,673.97/297,427.78
  6. Step 6: Final answer
    x = 234,683.93

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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.