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Finding the Fourth Proportional to 290,714.67, 401,166.27 and 163,409.40

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Solution

The fourth proportional to 290,714.67, 401,166.27 and 163,409.40 is: 225,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,714.67 : 401,166.27 = 163,409.40 : x
  2. Step 2: Convert to fraction form
    290,714.67/401,166.27 = 163,409.40/x
  3. Step 3: Cross multiply
    290,714.67x = 401,166.27 × 163,409.40
  4. Step 4: Simplify right side
    290,714.67x = 65,554,339,480.94
  5. Step 5: Solve for x
    x = 65,554,339,480.94/290,714.67
  6. Step 6: Final answer
    x = 225,493.74

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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.