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Finding the Fourth Proportional to 521,887.92, 783,142.92 and 189,489.84

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Solution

The fourth proportional to 521,887.92, 783,142.92 and 189,489.84 is: 284,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,887.92 : 783,142.92 = 189,489.84 : x
  2. Step 2: Convert to fraction form
    521,887.92/783,142.92 = 189,489.84/x
  3. Step 3: Cross multiply
    521,887.92x = 783,142.92 × 189,489.84
  4. Step 4: Simplify right side
    521,887.92x = 148,397,626,607.93
  5. Step 5: Solve for x
    x = 148,397,626,607.93/521,887.92
  6. Step 6: Final answer
    x = 284,347.69

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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.