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Finding the Fourth Proportional to 306,261.72, 458,409.78 and 163,750.86

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Solution

The fourth proportional to 306,261.72, 458,409.78 and 163,750.86 is: 245,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261.72 : 458,409.78 = 163,750.86 : x
  2. Step 2: Convert to fraction form
    306,261.72/458,409.78 = 163,750.86/x
  3. Step 3: Cross multiply
    306,261.72x = 458,409.78 × 163,750.86
  4. Step 4: Simplify right side
    306,261.72x = 75,064,995,707.41
  5. Step 5: Solve for x
    x = 75,064,995,707.41/306,261.72
  6. Step 6: Final answer
    x = 245,100.81

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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.