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Finding the Fourth Proportional to 231,342, 345,068.36 and 210,081.12

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Solution

The fourth proportional to 231,342, 345,068.36 and 210,081.12 is: 313,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,342 : 345,068.36 = 210,081.12 : x
  2. Step 2: Convert to fraction form
    231,342/345,068.36 = 210,081.12/x
  3. Step 3: Cross multiply
    231,342x = 345,068.36 × 210,081.12
  4. Step 4: Simplify right side
    231,342x = 72,492,346,494.96
  5. Step 5: Solve for x
    x = 72,492,346,494.96/231,342
  6. Step 6: Final answer
    x = 313,355.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.