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Finding the Fourth Proportional to 378,391.62, 521,637.87 and 297,678.96

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Solution

The fourth proportional to 378,391.62, 521,637.87 and 297,678.96 is: 410,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,391.62 : 521,637.87 = 297,678.96 : x
  2. Step 2: Convert to fraction form
    378,391.62/521,637.87 = 297,678.96/x
  3. Step 3: Cross multiply
    378,391.62x = 521,637.87 × 297,678.96
  4. Step 4: Simplify right side
    378,391.62x = 155,280,618,638.22
  5. Step 5: Solve for x
    x = 155,280,618,638.22/378,391.62
  6. Step 6: Final answer
    x = 410,370.13

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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.