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Finding the Fourth Proportional to 275,886, 380,723.08 and 156,654

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Solution

The fourth proportional to 275,886, 380,723.08 and 156,654 is: 216,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,886 : 380,723.08 = 156,654 : x
  2. Step 2: Convert to fraction form
    275,886/380,723.08 = 156,654/x
  3. Step 3: Cross multiply
    275,886x = 380,723.08 × 156,654
  4. Step 4: Simplify right side
    275,886x = 59,641,793,374.32
  5. Step 5: Solve for x
    x = 59,641,793,374.32/275,886
  6. Step 6: Final answer
    x = 216,182.75

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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.