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Finding the Fourth Proportional to 656,854.82, 906,482.03 and 381,191.33

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Solution

The fourth proportional to 656,854.82, 906,482.03 and 381,191.33 is: 526,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,854.82 : 906,482.03 = 381,191.33 : x
  2. Step 2: Convert to fraction form
    656,854.82/906,482.03 = 381,191.33/x
  3. Step 3: Cross multiply
    656,854.82x = 906,482.03 × 381,191.33
  4. Step 4: Simplify right side
    656,854.82x = 345,543,090,997.05
  5. Step 5: Solve for x
    x = 345,543,090,997.05/656,854.82
  6. Step 6: Final answer
    x = 526,057.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.