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Finding the Fourth Proportional to 564,406.80, 778,881.90 and 322,694.46

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Solution

The fourth proportional to 564,406.80, 778,881.90 and 322,694.46 is: 445,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,406.80 : 778,881.90 = 322,694.46 : x
  2. Step 2: Convert to fraction form
    564,406.80/778,881.90 = 322,694.46/x
  3. Step 3: Cross multiply
    564,406.80x = 778,881.90 × 322,694.46
  4. Step 4: Simplify right side
    564,406.80x = 251,340,874,124.27
  5. Step 5: Solve for x
    x = 251,340,874,124.27/564,406.80
  6. Step 6: Final answer
    x = 445,318.65

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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.