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Finding the Fourth Proportional to 245,967.86, 338,720.97 and 213,687.74

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Solution

The fourth proportional to 245,967.86, 338,720.97 and 213,687.74 is: 294,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,967.86 : 338,720.97 = 213,687.74 : x
  2. Step 2: Convert to fraction form
    245,967.86/338,720.97 = 213,687.74/x
  3. Step 3: Cross multiply
    245,967.86x = 338,720.97 × 213,687.74
  4. Step 4: Simplify right side
    245,967.86x = 72,380,518,569.91
  5. Step 5: Solve for x
    x = 72,380,518,569.91/245,967.86
  6. Step 6: Final answer
    x = 294,268.20

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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.