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Finding the Fourth Proportional to 421,018.57, 580,998.84 and 230,027.86

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Solution

The fourth proportional to 421,018.57, 580,998.84 and 230,027.86 is: 317,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,018.57 : 580,998.84 = 230,027.86 : x
  2. Step 2: Convert to fraction form
    421,018.57/580,998.84 = 230,027.86/x
  3. Step 3: Cross multiply
    421,018.57x = 580,998.84 × 230,027.86
  4. Step 4: Simplify right side
    421,018.57x = 133,645,919,827.68
  5. Step 5: Solve for x
    x = 133,645,919,827.68/421,018.57
  6. Step 6: Final answer
    x = 317,434.74

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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.