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Finding the Fourth Proportional to 403,494.66, 556,824.29 and 231,419.27

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Solution

The fourth proportional to 403,494.66, 556,824.29 and 231,419.27 is: 319,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,494.66 : 556,824.29 = 231,419.27 : x
  2. Step 2: Convert to fraction form
    403,494.66/556,824.29 = 231,419.27/x
  3. Step 3: Cross multiply
    403,494.66x = 556,824.29 × 231,419.27
  4. Step 4: Simplify right side
    403,494.66x = 128,859,870,710.07
  5. Step 5: Solve for x
    x = 128,859,870,710.07/403,494.66
  6. Step 6: Final answer
    x = 319,359.54

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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.