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Finding the Fourth Proportional to 259,991.16, 358,440.84 and 206,453.40

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Solution

The fourth proportional to 259,991.16, 358,440.84 and 206,453.40 is: 284,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,991.16 : 358,440.84 = 206,453.40 : x
  2. Step 2: Convert to fraction form
    259,991.16/358,440.84 = 206,453.40/x
  3. Step 3: Cross multiply
    259,991.16x = 358,440.84 × 206,453.40
  4. Step 4: Simplify right side
    259,991.16x = 74,001,330,116.86
  5. Step 5: Solve for x
    x = 74,001,330,116.86/259,991.16
  6. Step 6: Final answer
    x = 284,630.18

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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.