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Finding the Fourth Proportional to 292,845.30, 438,766.63 and 159,819

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Solution

The fourth proportional to 292,845.30, 438,766.63 and 159,819 is: 239,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,845.30 : 438,766.63 = 159,819 : x
  2. Step 2: Convert to fraction form
    292,845.30/438,766.63 = 159,819/x
  3. Step 3: Cross multiply
    292,845.30x = 438,766.63 × 159,819
  4. Step 4: Simplify right side
    292,845.30x = 70,123,244,039.97
  5. Step 5: Solve for x
    x = 70,123,244,039.97/292,845.30
  6. Step 6: Final answer
    x = 239,454.91

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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.