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Finding the Fourth Proportional to 374,497.64, 561,741 and 121,789.76

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Solution

The fourth proportional to 374,497.64, 561,741 and 121,789.76 is: 182,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,497.64 : 561,741 = 121,789.76 : x
  2. Step 2: Convert to fraction form
    374,497.64/561,741 = 121,789.76/x
  3. Step 3: Cross multiply
    374,497.64x = 561,741 × 121,789.76
  4. Step 4: Simplify right side
    374,497.64x = 68,414,301,572.16
  5. Step 5: Solve for x
    x = 68,414,301,572.16/374,497.64
  6. Step 6: Final answer
    x = 182,682.86

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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.