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Finding the Fourth Proportional to 428,647.77, 642,922.34 and 113,129.28

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Solution

The fourth proportional to 428,647.77, 642,922.34 and 113,129.28 is: 169,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,647.77 : 642,922.34 = 113,129.28 : x
  2. Step 2: Convert to fraction form
    428,647.77/642,922.34 = 113,129.28/x
  3. Step 3: Cross multiply
    428,647.77x = 642,922.34 × 113,129.28
  4. Step 4: Simplify right side
    428,647.77x = 72,733,340,854.47
  5. Step 5: Solve for x
    x = 72,733,340,854.47/428,647.77
  6. Step 6: Final answer
    x = 169,680.90

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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.