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Finding the Fourth Proportional to 385,714.80, 578,659.44 and 208,218

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Solution

The fourth proportional to 385,714.80, 578,659.44 and 208,218 is: 312,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,714.80 : 578,659.44 = 208,218 : x
  2. Step 2: Convert to fraction form
    385,714.80/578,659.44 = 208,218/x
  3. Step 3: Cross multiply
    385,714.80x = 578,659.44 × 208,218
  4. Step 4: Simplify right side
    385,714.80x = 120,487,311,277.92
  5. Step 5: Solve for x
    x = 120,487,311,277.92/385,714.80
  6. Step 6: Final answer
    x = 312,374.09

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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.