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Finding the Fourth Proportional to 279,509.86, 385,778.22 and 177,653.98

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Solution

The fourth proportional to 279,509.86, 385,778.22 and 177,653.98 is: 245,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,509.86 : 385,778.22 = 177,653.98 : x
  2. Step 2: Convert to fraction form
    279,509.86/385,778.22 = 177,653.98/x
  3. Step 3: Cross multiply
    279,509.86x = 385,778.22 × 177,653.98
  4. Step 4: Simplify right side
    279,509.86x = 68,535,036,180.32
  5. Step 5: Solve for x
    x = 68,535,036,180.32/279,509.86
  6. Step 6: Final answer
    x = 245,197.20

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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.