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Finding the Fourth Proportional to 378,186.72, 521,895.04 and 208,421

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Solution

The fourth proportional to 378,186.72, 521,895.04 and 208,421 is: 287,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,186.72 : 521,895.04 = 208,421 : x
  2. Step 2: Convert to fraction form
    378,186.72/521,895.04 = 208,421/x
  3. Step 3: Cross multiply
    378,186.72x = 521,895.04 × 208,421
  4. Step 4: Simplify right side
    378,186.72x = 108,773,886,131.84
  5. Step 5: Solve for x
    x = 108,773,886,131.84/378,186.72
  6. Step 6: Final answer
    x = 287,619.53

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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.