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Finding the Fourth Proportional to 385,711.80, 578,654.94 and 208,215

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Solution

The fourth proportional to 385,711.80, 578,654.94 and 208,215 is: 312,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,711.80 : 578,654.94 = 208,215 : x
  2. Step 2: Convert to fraction form
    385,711.80/578,654.94 = 208,215/x
  3. Step 3: Cross multiply
    385,711.80x = 578,654.94 × 208,215
  4. Step 4: Simplify right side
    385,711.80x = 120,484,638,332.10
  5. Step 5: Solve for x
    x = 120,484,638,332.10/385,711.80
  6. Step 6: Final answer
    x = 312,369.59

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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.