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Finding the Fourth Proportional to 305,548.32, 458,269.64 and 80,911.98

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Solution

The fourth proportional to 305,548.32, 458,269.64 and 80,911.98 is: 121,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,548.32 : 458,269.64 = 80,911.98 : x
  2. Step 2: Convert to fraction form
    305,548.32/458,269.64 = 80,911.98/x
  3. Step 3: Cross multiply
    305,548.32x = 458,269.64 × 80,911.98
  4. Step 4: Simplify right side
    305,548.32x = 37,079,503,946.29
  5. Step 5: Solve for x
    x = 37,079,503,946.29/305,548.32
  6. Step 6: Final answer
    x = 121,353.98

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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.