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Finding the Fourth Proportional to 539,935.76, 809,916.60 and 165,962

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Solution

The fourth proportional to 539,935.76, 809,916.60 and 165,962 is: 248,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,935.76 : 809,916.60 = 165,962 : x
  2. Step 2: Convert to fraction form
    539,935.76/809,916.60 = 165,962/x
  3. Step 3: Cross multiply
    539,935.76x = 809,916.60 × 165,962
  4. Step 4: Simplify right side
    539,935.76x = 134,415,378,769.20
  5. Step 5: Solve for x
    x = 134,415,378,769.20/539,935.76
  6. Step 6: Final answer
    x = 248,946.98

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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.