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Finding the Fourth Proportional to 428,906.21, 643,363.93 and 129,389.38

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Solution

The fourth proportional to 428,906.21, 643,363.93 and 129,389.38 is: 194,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,906.21 : 643,363.93 = 129,389.38 : x
  2. Step 2: Convert to fraction form
    428,906.21/643,363.93 = 129,389.38/x
  3. Step 3: Cross multiply
    428,906.21x = 643,363.93 × 129,389.38
  4. Step 4: Simplify right side
    428,906.21x = 83,244,457,842.58
  5. Step 5: Solve for x
    x = 83,244,457,842.58/428,906.21
  6. Step 6: Final answer
    x = 194,085.46

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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.