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Finding the Fourth Proportional to 412,643.67, 618,965.52 and 272,369.49

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Solution

The fourth proportional to 412,643.67, 618,965.52 and 272,369.49 is: 408,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,643.67 : 618,965.52 = 272,369.49 : x
  2. Step 2: Convert to fraction form
    412,643.67/618,965.52 = 272,369.49/x
  3. Step 3: Cross multiply
    412,643.67x = 618,965.52 × 272,369.49
  4. Step 4: Simplify right side
    412,643.67x = 168,587,323,009.99
  5. Step 5: Solve for x
    x = 168,587,323,009.99/412,643.67
  6. Step 6: Final answer
    x = 408,554.24

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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.