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Finding the Fourth Proportional to 567,278.55, 782,706.92 and 322,208.78

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Solution

The fourth proportional to 567,278.55, 782,706.92 and 322,208.78 is: 444,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,278.55 : 782,706.92 = 322,208.78 : x
  2. Step 2: Convert to fraction form
    567,278.55/782,706.92 = 322,208.78/x
  3. Step 3: Cross multiply
    567,278.55x = 782,706.92 × 322,208.78
  4. Step 4: Simplify right side
    567,278.55x = 252,195,036,266.18
  5. Step 5: Solve for x
    x = 252,195,036,266.18/567,278.55
  6. Step 6: Final answer
    x = 444,570.02

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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.