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Finding the Fourth Proportional to 563,912.78, 778,222.11 and 309,273.26

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Solution

The fourth proportional to 563,912.78, 778,222.11 and 309,273.26 is: 426,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,912.78 : 778,222.11 = 309,273.26 : x
  2. Step 2: Convert to fraction form
    563,912.78/778,222.11 = 309,273.26/x
  3. Step 3: Cross multiply
    563,912.78x = 778,222.11 × 309,273.26
  4. Step 4: Simplify right side
    563,912.78x = 240,683,288,963.78
  5. Step 5: Solve for x
    x = 240,683,288,963.78/563,912.78
  6. Step 6: Final answer
    x = 426,809.42

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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.