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Finding the Fourth Proportional to 410,663.43, 616,381.57 and 208,404.75

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Solution

The fourth proportional to 410,663.43, 616,381.57 and 208,404.75 is: 312,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,663.43 : 616,381.57 = 208,404.75 : x
  2. Step 2: Convert to fraction form
    410,663.43/616,381.57 = 208,404.75/x
  3. Step 3: Cross multiply
    410,663.43x = 616,381.57 × 208,404.75
  4. Step 4: Simplify right side
    410,663.43x = 128,456,847,000.46
  5. Step 5: Solve for x
    x = 128,456,847,000.46/410,663.43
  6. Step 6: Final answer
    x = 312,803.23

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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.