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Finding the Fourth Proportional to 428,308.65, 642,495.78 and 112,761

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Solution

The fourth proportional to 428,308.65, 642,495.78 and 112,761 is: 169,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,308.65 : 642,495.78 = 112,761 : x
  2. Step 2: Convert to fraction form
    428,308.65/642,495.78 = 112,761/x
  3. Step 3: Cross multiply
    428,308.65x = 642,495.78 × 112,761
  4. Step 4: Simplify right side
    428,308.65x = 72,448,466,648.58
  5. Step 5: Solve for x
    x = 72,448,466,648.58/428,308.65
  6. Step 6: Final answer
    x = 169,150.14

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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.