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Finding the Fourth Proportional to 539,840.13, 809,935.07 and 160,764

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Solution

The fourth proportional to 539,840.13, 809,935.07 and 160,764 is: 241,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,840.13 : 809,935.07 = 160,764 : x
  2. Step 2: Convert to fraction form
    539,840.13/809,935.07 = 160,764/x
  3. Step 3: Cross multiply
    539,840.13x = 809,935.07 × 160,764
  4. Step 4: Simplify right side
    539,840.13x = 130,208,401,593.48
  5. Step 5: Solve for x
    x = 130,208,401,593.48/539,840.13
  6. Step 6: Final answer
    x = 241,198.08

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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.