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Finding the Fourth Proportional to 377,919, 521,960.76 and 256,856.40

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Solution

The fourth proportional to 377,919, 521,960.76 and 256,856.40 is: 354,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,919 : 521,960.76 = 256,856.40 : x
  2. Step 2: Convert to fraction form
    377,919/521,960.76 = 256,856.40/x
  3. Step 3: Cross multiply
    377,919x = 521,960.76 × 256,856.40
  4. Step 4: Simplify right side
    377,919x = 134,068,961,754.86
  5. Step 5: Solve for x
    x = 134,068,961,754.86/377,919
  6. Step 6: Final answer
    x = 354,755.81

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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.