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Finding the Fourth Proportional to 385,498.74, 532,043.94 and 222,123.98

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Solution

The fourth proportional to 385,498.74, 532,043.94 and 222,123.98 is: 306,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,498.74 : 532,043.94 = 222,123.98 : x
  2. Step 2: Convert to fraction form
    385,498.74/532,043.94 = 222,123.98/x
  3. Step 3: Cross multiply
    385,498.74x = 532,043.94 × 222,123.98
  4. Step 4: Simplify right side
    385,498.74x = 118,179,717,487.68
  5. Step 5: Solve for x
    x = 118,179,717,487.68/385,498.74
  6. Step 6: Final answer
    x = 306,563.17

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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.