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Finding the Fourth Proportional to 428,892.51, 643,151.85 and 144,530.06

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Solution

The fourth proportional to 428,892.51, 643,151.85 and 144,530.06 is: 216,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,892.51 : 643,151.85 = 144,530.06 : x
  2. Step 2: Convert to fraction form
    428,892.51/643,151.85 = 144,530.06/x
  3. Step 3: Cross multiply
    428,892.51x = 643,151.85 × 144,530.06
  4. Step 4: Simplify right side
    428,892.51x = 92,954,775,469.61
  5. Step 5: Solve for x
    x = 92,954,775,469.61/428,892.51
  6. Step 6: Final answer
    x = 216,732.10

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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.