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Finding the Fourth Proportional to 367,911.32, 507,856.37 and 214,999.31

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Solution

The fourth proportional to 367,911.32, 507,856.37 and 214,999.31 is: 296,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,911.32 : 507,856.37 = 214,999.31 : x
  2. Step 2: Convert to fraction form
    367,911.32/507,856.37 = 214,999.31/x
  3. Step 3: Cross multiply
    367,911.32x = 507,856.37 × 214,999.31
  4. Step 4: Simplify right side
    367,911.32x = 109,188,769,323.75
  5. Step 5: Solve for x
    x = 109,188,769,323.75/367,911.32
  6. Step 6: Final answer
    x = 296,780.13

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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.