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Finding the Fourth Proportional to 508,835.43, 763,341.17 and 171,878.54

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Solution

The fourth proportional to 508,835.43, 763,341.17 and 171,878.54 is: 257,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,835.43 : 763,341.17 = 171,878.54 : x
  2. Step 2: Convert to fraction form
    508,835.43/763,341.17 = 171,878.54/x
  3. Step 3: Cross multiply
    508,835.43x = 763,341.17 × 171,878.54
  4. Step 4: Simplify right side
    508,835.43x = 131,201,961,145.39
  5. Step 5: Solve for x
    x = 131,201,961,145.39/508,835.43
  6. Step 6: Final answer
    x = 257,847.53

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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.