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Finding the Fourth Proportional to 428,892.26, 643,151.48 and 144,529.81

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Solution

The fourth proportional to 428,892.26, 643,151.48 and 144,529.81 is: 216,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,892.26 : 643,151.48 = 144,529.81 : x
  2. Step 2: Convert to fraction form
    428,892.26/643,151.48 = 144,529.81/x
  3. Step 3: Cross multiply
    428,892.26x = 643,151.48 × 144,529.81
  4. Step 4: Simplify right side
    428,892.26x = 92,954,558,875.09
  5. Step 5: Solve for x
    x = 92,954,558,875.09/428,892.26
  6. Step 6: Final answer
    x = 216,731.73

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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.