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Finding the Fourth Proportional to 298,407.78, 411,801.57 and 162,449.28

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Solution

The fourth proportional to 298,407.78, 411,801.57 and 162,449.28 is: 224,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,407.78 : 411,801.57 = 162,449.28 : x
  2. Step 2: Convert to fraction form
    298,407.78/411,801.57 = 162,449.28/x
  3. Step 3: Cross multiply
    298,407.78x = 411,801.57 × 162,449.28
  4. Step 4: Simplify right side
    298,407.78x = 66,896,868,549.37
  5. Step 5: Solve for x
    x = 66,896,868,549.37/298,407.78
  6. Step 6: Final answer
    x = 224,179.37

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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.