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Finding the Fourth Proportional to 378,156.63, 521,853.66 and 208,390.89

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Solution

The fourth proportional to 378,156.63, 521,853.66 and 208,390.89 is: 287,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,156.63 : 521,853.66 = 208,390.89 : x
  2. Step 2: Convert to fraction form
    378,156.63/521,853.66 = 208,390.89/x
  3. Step 3: Cross multiply
    378,156.63x = 521,853.66 × 208,390.89
  4. Step 4: Simplify right side
    378,156.63x = 108,749,548,657.16
  5. Step 5: Solve for x
    x = 108,749,548,657.16/378,156.63
  6. Step 6: Final answer
    x = 287,578.06

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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.