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Finding the Fourth Proportional to 428,097.08, 642,150.48 and 112,585.88

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Solution

The fourth proportional to 428,097.08, 642,150.48 and 112,585.88 is: 168,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,097.08 : 642,150.48 = 112,585.88 : x
  2. Step 2: Convert to fraction form
    428,097.08/642,150.48 = 112,585.88/x
  3. Step 3: Cross multiply
    428,097.08x = 642,150.48 × 112,585.88
  4. Step 4: Simplify right side
    428,097.08x = 72,297,076,883.22
  5. Step 5: Solve for x
    x = 72,297,076,883.22/428,097.08
  6. Step 6: Final answer
    x = 168,880.10

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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.