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Finding the Fourth Proportional to 612,451.68, 918,864.09 and 313,142.37

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Solution

The fourth proportional to 612,451.68, 918,864.09 and 313,142.37 is: 469,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,451.68 : 918,864.09 = 313,142.37 : x
  2. Step 2: Convert to fraction form
    612,451.68/918,864.09 = 313,142.37/x
  3. Step 3: Cross multiply
    612,451.68x = 918,864.09 × 313,142.37
  4. Step 4: Simplify right side
    612,451.68x = 287,735,278,850.49
  5. Step 5: Solve for x
    x = 287,735,278,850.49/612,451.68
  6. Step 6: Final answer
    x = 469,808.95

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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.