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Finding the Fourth Proportional to 338,809.10, 508,101.66 and 114,113.75

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Solution

The fourth proportional to 338,809.10, 508,101.66 and 114,113.75 is: 171,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,809.10 : 508,101.66 = 114,113.75 : x
  2. Step 2: Convert to fraction form
    338,809.10/508,101.66 = 114,113.75/x
  3. Step 3: Cross multiply
    338,809.10x = 508,101.66 × 114,113.75
  4. Step 4: Simplify right side
    338,809.10x = 57,981,383,263.32
  5. Step 5: Solve for x
    x = 57,981,383,263.32/338,809.10
  6. Step 6: Final answer
    x = 171,132.90

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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.