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Finding the Fourth Proportional to 279,774.41, 419,785.54 and 146,622.86

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Solution

The fourth proportional to 279,774.41, 419,785.54 and 146,622.86 is: 219,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,774.41 : 419,785.54 = 146,622.86 : x
  2. Step 2: Convert to fraction form
    279,774.41/419,785.54 = 146,622.86/x
  3. Step 3: Cross multiply
    279,774.41x = 419,785.54 × 146,622.86
  4. Step 4: Simplify right side
    279,774.41x = 61,550,155,570.16
  5. Step 5: Solve for x
    x = 61,550,155,570.16/279,774.41
  6. Step 6: Final answer
    x = 219,999.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.