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Finding the Fourth Proportional to 419,861.86, 579,306 and 256,476.76

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Solution

The fourth proportional to 419,861.86, 579,306 and 256,476.76 is: 353,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,861.86 : 579,306 = 256,476.76 : x
  2. Step 2: Convert to fraction form
    419,861.86/579,306 = 256,476.76/x
  3. Step 3: Cross multiply
    419,861.86x = 579,306 × 256,476.76
  4. Step 4: Simplify right side
    419,861.86x = 148,578,525,928.56
  5. Step 5: Solve for x
    x = 148,578,525,928.56/419,861.86
  6. Step 6: Final answer
    x = 353,874.79

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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.