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Finding the Fourth Proportional to 403,406.72, 556,696.80 and 222,114

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Solution

The fourth proportional to 403,406.72, 556,696.80 and 222,114 is: 306,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,406.72 : 556,696.80 = 222,114 : x
  2. Step 2: Convert to fraction form
    403,406.72/556,696.80 = 222,114/x
  3. Step 3: Cross multiply
    403,406.72x = 556,696.80 × 222,114
  4. Step 4: Simplify right side
    403,406.72x = 123,650,153,035.20
  5. Step 5: Solve for x
    x = 123,650,153,035.20/403,406.72
  6. Step 6: Final answer
    x = 306,514.86

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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.