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Finding the Fourth Proportional to 248,584.68, 343,046.34 and 135,407.16

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Solution

The fourth proportional to 248,584.68, 343,046.34 and 135,407.16 is: 186,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,584.68 : 343,046.34 = 135,407.16 : x
  2. Step 2: Convert to fraction form
    248,584.68/343,046.34 = 135,407.16/x
  3. Step 3: Cross multiply
    248,584.68x = 343,046.34 × 135,407.16
  4. Step 4: Simplify right side
    248,584.68x = 46,450,930,647.79
  5. Step 5: Solve for x
    x = 46,450,930,647.79/248,584.68
  6. Step 6: Final answer
    x = 186,861.60

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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.