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Finding the Fourth Proportional to 539,472.24, 808,809 and 258,722.16

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Solution

The fourth proportional to 539,472.24, 808,809 and 258,722.16 is: 387,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,472.24 : 808,809 = 258,722.16 : x
  2. Step 2: Convert to fraction form
    539,472.24/808,809 = 258,722.16/x
  3. Step 3: Cross multiply
    539,472.24x = 808,809 × 258,722.16
  4. Step 4: Simplify right side
    539,472.24x = 209,256,811,507.44
  5. Step 5: Solve for x
    x = 209,256,811,507.44/539,472.24
  6. Step 6: Final answer
    x = 387,891.71

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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.