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Finding the Fourth Proportional to 508,834.77, 763,340.12 and 171,877.87

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Solution

The fourth proportional to 508,834.77, 763,340.12 and 171,877.87 is: 257,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,834.77 : 763,340.12 = 171,877.87 : x
  2. Step 2: Convert to fraction form
    508,834.77/763,340.12 = 171,877.87/x
  3. Step 3: Cross multiply
    508,834.77x = 763,340.12 × 171,877.87
  4. Step 4: Simplify right side
    508,834.77x = 131,201,273,911.14
  5. Step 5: Solve for x
    x = 131,201,273,911.14/508,834.77
  6. Step 6: Final answer
    x = 257,846.52

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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.