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Finding the Fourth Proportional to 274,378.95, 413,624.94 and 256,090.16

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Solution

The fourth proportional to 274,378.95, 413,624.94 and 256,090.16 is: 386,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,378.95 : 413,624.94 = 256,090.16 : x
  2. Step 2: Convert to fraction form
    274,378.95/413,624.94 = 256,090.16/x
  3. Step 3: Cross multiply
    274,378.95x = 413,624.94 × 256,090.16
  4. Step 4: Simplify right side
    274,378.95x = 105,925,274,996.47
  5. Step 5: Solve for x
    x = 105,925,274,996.47/274,378.95
  6. Step 6: Final answer
    x = 386,054.67

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1.5x scale

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.