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Finding the Fourth Proportional to 297,841.81, 411,024.86 and 161,875.75

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Solution

The fourth proportional to 297,841.81, 411,024.86 and 161,875.75 is: 223,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,841.81 : 411,024.86 = 161,875.75 : x
  2. Step 2: Convert to fraction form
    297,841.81/411,024.86 = 161,875.75/x
  3. Step 3: Cross multiply
    297,841.81x = 411,024.86 × 161,875.75
  4. Step 4: Simplify right side
    297,841.81x = 66,534,957,481.15
  5. Step 5: Solve for x
    x = 66,534,957,481.15/297,841.81
  6. Step 6: Final answer
    x = 223,390.25

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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.