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Finding the Fourth Proportional to 375,247.86, 517,835.75 and 203,164.42

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Solution

The fourth proportional to 375,247.86, 517,835.75 and 203,164.42 is: 280,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,247.86 : 517,835.75 = 203,164.42 : x
  2. Step 2: Convert to fraction form
    375,247.86/517,835.75 = 203,164.42/x
  3. Step 3: Cross multiply
    375,247.86x = 517,835.75 × 203,164.42
  4. Step 4: Simplify right side
    375,247.86x = 105,205,799,607.35
  5. Step 5: Solve for x
    x = 105,205,799,607.35/375,247.86
  6. Step 6: Final answer
    x = 280,363.49

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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.