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Finding the Fourth Proportional to 378,927.84, 568,226.40 and 201,392.16

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Solution

The fourth proportional to 378,927.84, 568,226.40 and 201,392.16 is: 302,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,927.84 : 568,226.40 = 201,392.16 : x
  2. Step 2: Convert to fraction form
    378,927.84/568,226.40 = 201,392.16/x
  3. Step 3: Cross multiply
    378,927.84x = 568,226.40 × 201,392.16
  4. Step 4: Simplify right side
    378,927.84x = 114,436,342,065.02
  5. Step 5: Solve for x
    x = 114,436,342,065.02/378,927.84
  6. Step 6: Final answer
    x = 302,000.35

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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.