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Finding the Fourth Proportional to 539,442.81, 808,905.78 and 254,896.56

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Solution

The fourth proportional to 539,442.81, 808,905.78 and 254,896.56 is: 382,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,442.81 : 808,905.78 = 254,896.56 : x
  2. Step 2: Convert to fraction form
    539,442.81/808,905.78 = 254,896.56/x
  3. Step 3: Cross multiply
    539,442.81x = 808,905.78 × 254,896.56
  4. Step 4: Simplify right side
    539,442.81x = 206,187,300,686.12
  5. Step 5: Solve for x
    x = 206,187,300,686.12/539,442.81
  6. Step 6: Final answer
    x = 382,222.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.