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Finding the Fourth Proportional to 354,907.59, 489,779.90 and 193,769.43

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Solution

The fourth proportional to 354,907.59, 489,779.90 and 193,769.43 is: 267,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,907.59 : 489,779.90 = 193,769.43 : x
  2. Step 2: Convert to fraction form
    354,907.59/489,779.90 = 193,769.43/x
  3. Step 3: Cross multiply
    354,907.59x = 489,779.90 × 193,769.43
  4. Step 4: Simplify right side
    354,907.59x = 94,904,372,048.46
  5. Step 5: Solve for x
    x = 94,904,372,048.46/354,907.59
  6. Step 6: Final answer
    x = 267,405.87

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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.