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Finding the Fourth Proportional to 378,420.56, 521,677.76 and 297,707.91

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Solution

The fourth proportional to 378,420.56, 521,677.76 and 297,707.91 is: 410,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,420.56 : 521,677.76 = 297,707.91 : x
  2. Step 2: Convert to fraction form
    378,420.56/521,677.76 = 297,707.91/x
  3. Step 3: Cross multiply
    378,420.56x = 521,677.76 × 297,707.91
  4. Step 4: Simplify right side
    378,420.56x = 155,307,594,134.54
  5. Step 5: Solve for x
    x = 155,307,594,134.54/378,420.56
  6. Step 6: Final answer
    x = 410,410.04

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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.