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Finding the Fourth Proportional to 564,481.65, 778,990.50 and 306,360.82

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Solution

The fourth proportional to 564,481.65, 778,990.50 and 306,360.82 is: 422,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,481.65 : 778,990.50 = 306,360.82 : x
  2. Step 2: Convert to fraction form
    564,481.65/778,990.50 = 306,360.82/x
  3. Step 3: Cross multiply
    564,481.65x = 778,990.50 × 306,360.82
  4. Step 4: Simplify right side
    564,481.65x = 238,652,166,404.73
  5. Step 5: Solve for x
    x = 238,652,166,404.73/564,481.65
  6. Step 6: Final answer
    x = 422,781.09

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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.