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Finding the Fourth Proportional to 292,443.20, 438,081.60 and 167,638.40

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Solution

The fourth proportional to 292,443.20, 438,081.60 and 167,638.40 is: 251,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,443.20 : 438,081.60 = 167,638.40 : x
  2. Step 2: Convert to fraction form
    292,443.20/438,081.60 = 167,638.40/x
  3. Step 3: Cross multiply
    292,443.20x = 438,081.60 × 167,638.40
  4. Step 4: Simplify right side
    292,443.20x = 73,439,298,493.44
  5. Step 5: Solve for x
    x = 73,439,298,493.44/292,443.20
  6. Step 6: Final answer
    x = 251,123.29

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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.