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Finding the Fourth Proportional to 539,047, 808,224.82 and 223,721.56

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Solution

The fourth proportional to 539,047, 808,224.82 and 223,721.56 is: 335,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,047 : 808,224.82 = 223,721.56 : x
  2. Step 2: Convert to fraction form
    539,047/808,224.82 = 223,721.56/x
  3. Step 3: Cross multiply
    539,047x = 808,224.82 × 223,721.56
  4. Step 4: Simplify right side
    539,047x = 180,817,317,561.12
  5. Step 5: Solve for x
    x = 180,817,317,561.12/539,047
  6. Step 6: Final answer
    x = 335,438.87

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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.