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Finding the Fourth Proportional to 305,697.72, 458,638.74 and 95,357.88

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Solution

The fourth proportional to 305,697.72, 458,638.74 and 95,357.88 is: 143,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,697.72 : 458,638.74 = 95,357.88 : x
  2. Step 2: Convert to fraction form
    305,697.72/458,638.74 = 95,357.88/x
  3. Step 3: Cross multiply
    305,697.72x = 458,638.74 × 95,357.88
  4. Step 4: Simplify right side
    305,697.72x = 43,734,817,932.27
  5. Step 5: Solve for x
    x = 43,734,817,932.27/305,697.72
  6. Step 6: Final answer
    x = 143,065.57

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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.