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Finding the Fourth Proportional to 403,494.91, 556,824.64 and 231,419.52

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Solution

The fourth proportional to 403,494.91, 556,824.64 and 231,419.52 is: 319,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,494.91 : 556,824.64 = 231,419.52 : x
  2. Step 2: Convert to fraction form
    403,494.91/556,824.64 = 231,419.52/x
  3. Step 3: Cross multiply
    403,494.91x = 556,824.64 × 231,419.52
  4. Step 4: Simplify right side
    403,494.91x = 128,860,090,912.97
  5. Step 5: Solve for x
    x = 128,860,090,912.97/403,494.91
  6. Step 6: Final answer
    x = 319,359.89

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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.