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Finding the Fourth Proportional to 613,994.68, 920,947.26 and 193,390.84

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Solution

The fourth proportional to 613,994.68, 920,947.26 and 193,390.84 is: 290,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,994.68 : 920,947.26 = 193,390.84 : x
  2. Step 2: Convert to fraction form
    613,994.68/920,947.26 = 193,390.84/x
  3. Step 3: Cross multiply
    613,994.68x = 920,947.26 × 193,390.84
  4. Step 4: Simplify right side
    613,994.68x = 178,102,764,207.10
  5. Step 5: Solve for x
    x = 178,102,764,207.10/613,994.68
  6. Step 6: Final answer
    x = 290,072.16

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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.