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Finding the Fourth Proportional to 428,278.84, 643,006.74 and 218,058.04

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Solution

The fourth proportional to 428,278.84, 643,006.74 and 218,058.04 is: 327,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,278.84 : 643,006.74 = 218,058.04 : x
  2. Step 2: Convert to fraction form
    428,278.84/643,006.74 = 218,058.04/x
  3. Step 3: Cross multiply
    428,278.84x = 643,006.74 × 218,058.04
  4. Step 4: Simplify right side
    428,278.84x = 140,212,789,431.19
  5. Step 5: Solve for x
    x = 140,212,789,431.19/428,278.84
  6. Step 6: Final answer
    x = 327,386.68

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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.