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Finding the Fourth Proportional to 412,633.90, 618,952.98 and 187,837.12

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Solution

The fourth proportional to 412,633.90, 618,952.98 and 187,837.12 is: 281,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,633.90 : 618,952.98 = 187,837.12 : x
  2. Step 2: Convert to fraction form
    412,633.90/618,952.98 = 187,837.12/x
  3. Step 3: Cross multiply
    412,633.90x = 618,952.98 × 187,837.12
  4. Step 4: Simplify right side
    412,633.90x = 116,262,346,187.11
  5. Step 5: Solve for x
    x = 116,262,346,187.11/412,633.90
  6. Step 6: Final answer
    x = 281,756.65

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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.