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Finding the Fourth Proportional to 274,378.84, 413,624.67 and 256,090

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Solution

The fourth proportional to 274,378.84, 413,624.67 and 256,090 is: 386,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,378.84 : 413,624.67 = 256,090 : x
  2. Step 2: Convert to fraction form
    274,378.84/413,624.67 = 256,090/x
  3. Step 3: Cross multiply
    274,378.84x = 413,624.67 × 256,090
  4. Step 4: Simplify right side
    274,378.84x = 105,925,141,740.30
  5. Step 5: Solve for x
    x = 105,925,141,740.30/274,378.84
  6. Step 6: Final answer
    x = 386,054.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.