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Finding the Fourth Proportional to 248,840, 343,399.20 and 159,416

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Solution

The fourth proportional to 248,840, 343,399.20 and 159,416 is: 219,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,840 : 343,399.20 = 159,416 : x
  2. Step 2: Convert to fraction form
    248,840/343,399.20 = 159,416/x
  3. Step 3: Cross multiply
    248,840x = 343,399.20 × 159,416
  4. Step 4: Simplify right side
    248,840x = 54,743,326,867.20
  5. Step 5: Solve for x
    x = 54,743,326,867.20/248,840
  6. Step 6: Final answer
    x = 219,994.08

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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.