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Finding the Fourth Proportional to 403,869, 557,343.09 and 222,587.58

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Solution

The fourth proportional to 403,869, 557,343.09 and 222,587.58 is: 307,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,869 : 557,343.09 = 222,587.58 : x
  2. Step 2: Convert to fraction form
    403,869/557,343.09 = 222,587.58/x
  3. Step 3: Cross multiply
    403,869x = 557,343.09 × 222,587.58
  4. Step 4: Simplify right side
    403,869x = 124,057,649,632.82
  5. Step 5: Solve for x
    x = 124,057,649,632.82/403,869
  6. Step 6: Final answer
    x = 307,172.99

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1.5x scale

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.