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Finding the Fourth Proportional to 378,957.78, 568,436.67 and 112,722.12

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Solution

The fourth proportional to 378,957.78, 568,436.67 and 112,722.12 is: 169,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,957.78 : 568,436.67 = 112,722.12 : x
  2. Step 2: Convert to fraction form
    378,957.78/568,436.67 = 112,722.12/x
  3. Step 3: Cross multiply
    378,957.78x = 568,436.67 × 112,722.12
  4. Step 4: Simplify right side
    378,957.78x = 64,075,386,528.14
  5. Step 5: Solve for x
    x = 64,075,386,528.14/378,957.78
  6. Step 6: Final answer
    x = 169,083.18

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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.