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Finding the Fourth Proportional to 383,243.92, 528,877.10 and 208,813.30

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Solution

The fourth proportional to 383,243.92, 528,877.10 and 208,813.30 is: 288,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,243.92 : 528,877.10 = 208,813.30 : x
  2. Step 2: Convert to fraction form
    383,243.92/528,877.10 = 208,813.30/x
  3. Step 3: Cross multiply
    383,243.92x = 528,877.10 × 208,813.30
  4. Step 4: Simplify right side
    383,243.92x = 110,436,572,545.43
  5. Step 5: Solve for x
    x = 110,436,572,545.43/383,243.92
  6. Step 6: Final answer
    x = 288,162.62

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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.