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Finding the Fourth Proportional to 428,648.26, 642,923.08 and 113,129.78

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Solution

The fourth proportional to 428,648.26, 642,923.08 and 113,129.78 is: 169,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,648.26 : 642,923.08 = 113,129.78 : x
  2. Step 2: Convert to fraction form
    428,648.26/642,923.08 = 113,129.78/x
  3. Step 3: Cross multiply
    428,648.26x = 642,923.08 × 113,129.78
  4. Step 4: Simplify right side
    428,648.26x = 72,733,746,597.32
  5. Step 5: Solve for x
    x = 72,733,746,597.32/428,648.26
  6. Step 6: Final answer
    x = 169,681.66

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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.