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Finding the Fourth Proportional to 539,316.38, 809,283.67 and 219,409.21

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Solution

The fourth proportional to 539,316.38, 809,283.67 and 219,409.21 is: 329,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,316.38 : 809,283.67 = 219,409.21 : x
  2. Step 2: Convert to fraction form
    539,316.38/809,283.67 = 219,409.21/x
  3. Step 3: Cross multiply
    539,316.38x = 809,283.67 × 219,409.21
  4. Step 4: Simplify right side
    539,316.38x = 177,564,292,397.86
  5. Step 5: Solve for x
    x = 177,564,292,397.86/539,316.38
  6. Step 6: Final answer
    x = 329,239.57

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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.