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Finding the Fourth Proportional to 428,056.76, 642,036.54 and 112,538.28

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Solution

The fourth proportional to 428,056.76, 642,036.54 and 112,538.28 is: 168,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,056.76 : 642,036.54 = 112,538.28 : x
  2. Step 2: Convert to fraction form
    428,056.76/642,036.54 = 112,538.28/x
  3. Step 3: Cross multiply
    428,056.76x = 642,036.54 × 112,538.28
  4. Step 4: Simplify right side
    428,056.76x = 72,253,687,908.75
  5. Step 5: Solve for x
    x = 72,253,687,908.75/428,056.76
  6. Step 6: Final answer
    x = 168,794.64

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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.