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Finding the Fourth Proportional to 539,877.48, 809,113.80 and 219,656.13

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Solution

The fourth proportional to 539,877.48, 809,113.80 and 219,656.13 is: 329,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,877.48 : 809,113.80 = 219,656.13 : x
  2. Step 2: Convert to fraction form
    539,877.48/809,113.80 = 219,656.13/x
  3. Step 3: Cross multiply
    539,877.48x = 809,113.80 × 219,656.13
  4. Step 4: Simplify right side
    539,877.48x = 177,726,806,037.59
  5. Step 5: Solve for x
    x = 177,726,806,037.59/539,877.48
  6. Step 6: Final answer
    x = 329,198.41

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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.