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Finding the Fourth Proportional to 564,362.16, 778,790 and 322,612.80

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Solution

The fourth proportional to 564,362.16, 778,790 and 322,612.80 is: 445,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,362.16 : 778,790 = 322,612.80 : x
  2. Step 2: Convert to fraction form
    564,362.16/778,790 = 322,612.80/x
  3. Step 3: Cross multiply
    564,362.16x = 778,790 × 322,612.80
  4. Step 4: Simplify right side
    564,362.16x = 251,247,622,512
  5. Step 5: Solve for x
    x = 251,247,622,512/564,362.16
  6. Step 6: Final answer
    x = 445,188.64

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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.