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Finding the Fourth Proportional to 378,239.80, 521,967.59 and 206,157.77

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Solution

The fourth proportional to 378,239.80, 521,967.59 and 206,157.77 is: 284,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,239.80 : 521,967.59 = 206,157.77 : x
  2. Step 2: Convert to fraction form
    378,239.80/521,967.59 = 206,157.77/x
  3. Step 3: Cross multiply
    378,239.80x = 521,967.59 × 206,157.77
  4. Step 4: Simplify right side
    378,239.80x = 107,607,674,366.67
  5. Step 5: Solve for x
    x = 107,607,674,366.67/378,239.80
  6. Step 6: Final answer
    x = 284,495.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.