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Finding the Fourth Proportional to 428,910.49, 643,370.36 and 129,393.67

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Solution

The fourth proportional to 428,910.49, 643,370.36 and 129,393.67 is: 194,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,910.49 : 643,370.36 = 129,393.67 : x
  2. Step 2: Convert to fraction form
    428,910.49/643,370.36 = 129,393.67/x
  3. Step 3: Cross multiply
    428,910.49x = 643,370.36 × 129,393.67
  4. Step 4: Simplify right side
    428,910.49x = 83,248,051,728.39
  5. Step 5: Solve for x
    x = 83,248,051,728.39/428,910.49
  6. Step 6: Final answer
    x = 194,091.90

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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.