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Finding the Fourth Proportional to 296,434.32, 408,803 and 274,416.68

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Solution

The fourth proportional to 296,434.32, 408,803 and 274,416.68 is: 378,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,434.32 : 408,803 = 274,416.68 : x
  2. Step 2: Convert to fraction form
    296,434.32/408,803 = 274,416.68/x
  3. Step 3: Cross multiply
    296,434.32x = 408,803 × 274,416.68
  4. Step 4: Simplify right side
    296,434.32x = 112,182,362,034.04
  5. Step 5: Solve for x
    x = 112,182,362,034.04/296,434.32
  6. Step 6: Final answer
    x = 378,439.18

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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.