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Finding the Fourth Proportional to 279,953.47, 420,104.36 and 113,741.47

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Solution

The fourth proportional to 279,953.47, 420,104.36 and 113,741.47 is: 170,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,953.47 : 420,104.36 = 113,741.47 : x
  2. Step 2: Convert to fraction form
    279,953.47/420,104.36 = 113,741.47/x
  3. Step 3: Cross multiply
    279,953.47x = 420,104.36 × 113,741.47
  4. Step 4: Simplify right side
    279,953.47x = 47,783,287,459.81
  5. Step 5: Solve for x
    x = 47,783,287,459.81/279,953.47
  6. Step 6: Final answer
    x = 170,682.96

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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.