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Finding the Fourth Proportional to 354,082.73, 531,345.52 and 143,720.66

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Solution

The fourth proportional to 354,082.73, 531,345.52 and 143,720.66 is: 215,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,082.73 : 531,345.52 = 143,720.66 : x
  2. Step 2: Convert to fraction form
    354,082.73/531,345.52 = 143,720.66/x
  3. Step 3: Cross multiply
    354,082.73x = 531,345.52 × 143,720.66
  4. Step 4: Simplify right side
    354,082.73x = 76,365,330,330.46
  5. Step 5: Solve for x
    x = 76,365,330,330.46/354,082.73
  6. Step 6: Final answer
    x = 215,670.87

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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.