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Finding the Fourth Proportional to 521,110.56, 781,728.90 and 184,082.25

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Solution

The fourth proportional to 521,110.56, 781,728.90 and 184,082.25 is: 276,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,110.56 : 781,728.90 = 184,082.25 : x
  2. Step 2: Convert to fraction form
    521,110.56/781,728.90 = 184,082.25/x
  3. Step 3: Cross multiply
    521,110.56x = 781,728.90 × 184,082.25
  4. Step 4: Simplify right side
    521,110.56x = 143,902,417,043.20
  5. Step 5: Solve for x
    x = 143,902,417,043.20/521,110.56
  6. Step 6: Final answer
    x = 276,145.65

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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.