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Finding the Fourth Proportional to 539,344, 809,013.12 and 139,984.48

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Solution

The fourth proportional to 539,344, 809,013.12 and 139,984.48 is: 209,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,344 : 809,013.12 = 139,984.48 : x
  2. Step 2: Convert to fraction form
    539,344/809,013.12 = 139,984.48/x
  3. Step 3: Cross multiply
    539,344x = 809,013.12 × 139,984.48
  4. Step 4: Simplify right side
    539,344x = 113,249,280,916.38
  5. Step 5: Solve for x
    x = 113,249,280,916.38/539,344
  6. Step 6: Final answer
    x = 209,975.97

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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.