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Finding the Fourth Proportional to 385,800.44, 532,398.85 and 213,717.87

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Solution

The fourth proportional to 385,800.44, 532,398.85 and 213,717.87 is: 294,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,800.44 : 532,398.85 = 213,717.87 : x
  2. Step 2: Convert to fraction form
    385,800.44/532,398.85 = 213,717.87/x
  3. Step 3: Cross multiply
    385,800.44x = 532,398.85 × 213,717.87
  4. Step 4: Simplify right side
    385,800.44x = 113,783,147,678.16
  5. Step 5: Solve for x
    x = 113,783,147,678.16/385,800.44
  6. Step 6: Final answer
    x = 294,927.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.