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Finding the Fourth Proportional to 385,857.08, 578,983.22 and 183,682

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Solution

The fourth proportional to 385,857.08, 578,983.22 and 183,682 is: 275,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,857.08 : 578,983.22 = 183,682 : x
  2. Step 2: Convert to fraction form
    385,857.08/578,983.22 = 183,682/x
  3. Step 3: Cross multiply
    385,857.08x = 578,983.22 × 183,682
  4. Step 4: Simplify right side
    385,857.08x = 106,348,795,816.04
  5. Step 5: Solve for x
    x = 106,348,795,816.04/385,857.08
  6. Step 6: Final answer
    x = 275,617.06

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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.