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Finding the Fourth Proportional to 421,702.92, 581,892.60 and 251,901

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Solution

The fourth proportional to 421,702.92, 581,892.60 and 251,901 is: 347,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,702.92 : 581,892.60 = 251,901 : x
  2. Step 2: Convert to fraction form
    421,702.92/581,892.60 = 251,901/x
  3. Step 3: Cross multiply
    421,702.92x = 581,892.60 × 251,901
  4. Step 4: Simplify right side
    421,702.92x = 146,579,327,832.60
  5. Step 5: Solve for x
    x = 146,579,327,832.60/421,702.92
  6. Step 6: Final answer
    x = 347,589.07

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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.