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Finding the Fourth Proportional to 306,772.79, 423,342.41 and 177,728.86

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Solution

The fourth proportional to 306,772.79, 423,342.41 and 177,728.86 is: 245,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,772.79 : 423,342.41 = 177,728.86 : x
  2. Step 2: Convert to fraction form
    306,772.79/423,342.41 = 177,728.86/x
  3. Step 3: Cross multiply
    306,772.79x = 423,342.41 × 177,728.86
  4. Step 4: Simplify right side
    306,772.79x = 75,240,163,304.92
  5. Step 5: Solve for x
    x = 75,240,163,304.92/306,772.79
  6. Step 6: Final answer
    x = 245,263.48

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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.