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Finding the Fourth Proportional to 229,317.42, 316,447.41 and 127,349.36

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Solution

The fourth proportional to 229,317.42, 316,447.41 and 127,349.36 is: 175,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,317.42 : 316,447.41 = 127,349.36 : x
  2. Step 2: Convert to fraction form
    229,317.42/316,447.41 = 127,349.36/x
  3. Step 3: Cross multiply
    229,317.42x = 316,447.41 × 127,349.36
  4. Step 4: Simplify right side
    229,317.42x = 40,299,375,137.16
  5. Step 5: Solve for x
    x = 40,299,375,137.16/229,317.42
  6. Step 6: Final answer
    x = 175,736.21

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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.