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Finding the Fourth Proportional to 296,432.69, 408,800.76 and 274,415.06

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Solution

The fourth proportional to 296,432.69, 408,800.76 and 274,415.06 is: 378,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,432.69 : 408,800.76 = 274,415.06 : x
  2. Step 2: Convert to fraction form
    296,432.69/408,800.76 = 274,415.06/x
  3. Step 3: Cross multiply
    296,432.69x = 408,800.76 × 274,415.06
  4. Step 4: Simplify right side
    296,432.69x = 112,181,083,039.44
  5. Step 5: Solve for x
    x = 112,181,083,039.44/296,432.69
  6. Step 6: Final answer
    x = 378,436.96

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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.