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Finding the Fourth Proportional to 378,424.31, 521,682.92 and 297,711.66

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Solution

The fourth proportional to 378,424.31, 521,682.92 and 297,711.66 is: 410,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,424.31 : 521,682.92 = 297,711.66 : x
  2. Step 2: Convert to fraction form
    378,424.31/521,682.92 = 297,711.66/x
  3. Step 3: Cross multiply
    378,424.31x = 521,682.92 × 297,711.66
  4. Step 4: Simplify right side
    378,424.31x = 155,311,088,106.85
  5. Step 5: Solve for x
    x = 155,311,088,106.85/378,424.31
  6. Step 6: Final answer
    x = 410,415.20

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1.5x scale

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.