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Finding the Fourth Proportional to 563,118.78, 777,105.18 and 308,470.98

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Solution

The fourth proportional to 563,118.78, 777,105.18 and 308,470.98 is: 425,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,118.78 : 777,105.18 = 308,470.98 : x
  2. Step 2: Convert to fraction form
    563,118.78/777,105.18 = 308,470.98/x
  3. Step 3: Cross multiply
    563,118.78x = 777,105.18 × 308,470.98
  4. Step 4: Simplify right side
    563,118.78x = 239,714,396,437.68
  5. Step 5: Solve for x
    x = 239,714,396,437.68/563,118.78
  6. Step 6: Final answer
    x = 425,690.64

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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.