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Finding the Fourth Proportional to 339,324.61, 508,981.65 and 83,159.68

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Solution

The fourth proportional to 339,324.61, 508,981.65 and 83,159.68 is: 124,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,324.61 : 508,981.65 = 83,159.68 : x
  2. Step 2: Convert to fraction form
    339,324.61/508,981.65 = 83,159.68/x
  3. Step 3: Cross multiply
    339,324.61x = 508,981.65 × 83,159.68
  4. Step 4: Simplify right side
    339,324.61x = 42,326,751,139.87
  5. Step 5: Solve for x
    x = 42,326,751,139.87/339,324.61
  6. Step 6: Final answer
    x = 124,738.23

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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.