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Finding the Fourth Proportional to 496,025.86, 684,485.02 and 278,222.56

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Solution

The fourth proportional to 496,025.86, 684,485.02 and 278,222.56 is: 383,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,025.86 : 684,485.02 = 278,222.56 : x
  2. Step 2: Convert to fraction form
    496,025.86/684,485.02 = 278,222.56/x
  3. Step 3: Cross multiply
    496,025.86x = 684,485.02 × 278,222.56
  4. Step 4: Simplify right side
    496,025.86x = 190,439,174,546.05
  5. Step 5: Solve for x
    x = 190,439,174,546.05/496,025.86
  6. Step 6: Final answer
    x = 383,929.93

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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.