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Finding the Fourth Proportional to 611,775.97, 917,757.23 and 312,093.07

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Solution

The fourth proportional to 611,775.97, 917,757.23 and 312,093.07 is: 468,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,775.97 : 917,757.23 = 312,093.07 : x
  2. Step 2: Convert to fraction form
    611,775.97/917,757.23 = 312,093.07/x
  3. Step 3: Cross multiply
    611,775.97x = 917,757.23 × 312,093.07
  4. Step 4: Simplify right side
    611,775.97x = 286,425,667,570.54
  5. Step 5: Solve for x
    x = 286,425,667,570.54/611,775.97
  6. Step 6: Final answer
    x = 468,187.18

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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.