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Finding the Fourth Proportional to 428,373.40, 642,591.60 and 112,828

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Solution

The fourth proportional to 428,373.40, 642,591.60 and 112,828 is: 169,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,373.40 : 642,591.60 = 112,828 : x
  2. Step 2: Convert to fraction form
    428,373.40/642,591.60 = 112,828/x
  3. Step 3: Cross multiply
    428,373.40x = 642,591.60 × 112,828
  4. Step 4: Simplify right side
    428,373.40x = 72,502,325,044.80
  5. Step 5: Solve for x
    x = 72,502,325,044.80/428,373.40
  6. Step 6: Final answer
    x = 169,250.30

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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.