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Finding the Fourth Proportional to 564,358.14, 778,784.49 and 322,608.78

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Solution

The fourth proportional to 564,358.14, 778,784.49 and 322,608.78 is: 445,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,358.14 : 778,784.49 = 322,608.78 : x
  2. Step 2: Convert to fraction form
    564,358.14/778,784.49 = 322,608.78/x
  3. Step 3: Cross multiply
    564,358.14x = 778,784.49 × 322,608.78
  4. Step 4: Simplify right side
    564,358.14x = 251,242,714,201.82
  5. Step 5: Solve for x
    x = 251,242,714,201.82/564,358.14
  6. Step 6: Final answer
    x = 445,183.11

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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.