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Finding the Fourth Proportional to 508,850.78, 763,364.16 and 171,893.90

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Solution

The fourth proportional to 508,850.78, 763,364.16 and 171,893.90 is: 257,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,850.78 : 763,364.16 = 171,893.90 : x
  2. Step 2: Convert to fraction form
    508,850.78/763,364.16 = 171,893.90/x
  3. Step 3: Cross multiply
    508,850.78x = 763,364.16 × 171,893.90
  4. Step 4: Simplify right side
    508,850.78x = 131,217,642,582.62
  5. Step 5: Solve for x
    x = 131,217,642,582.62/508,850.78
  6. Step 6: Final answer
    x = 257,870.57

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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.