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Finding the Fourth Proportional to 563,194.78, 777,202.32 and 305,066.80

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Solution

The fourth proportional to 563,194.78, 777,202.32 and 305,066.80 is: 420,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,194.78 : 777,202.32 = 305,066.80 : x
  2. Step 2: Convert to fraction form
    563,194.78/777,202.32 = 305,066.80/x
  3. Step 3: Cross multiply
    563,194.78x = 777,202.32 × 305,066.80
  4. Step 4: Simplify right side
    563,194.78x = 237,098,624,714.98
  5. Step 5: Solve for x
    x = 237,098,624,714.98/563,194.78
  6. Step 6: Final answer
    x = 420,988.68

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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.