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Finding the Fourth Proportional to 247,900, 343,002.72 and 216,135.04

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Solution

The fourth proportional to 247,900, 343,002.72 and 216,135.04 is: 299,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,900 : 343,002.72 = 216,135.04 : x
  2. Step 2: Convert to fraction form
    247,900/343,002.72 = 216,135.04/x
  3. Step 3: Cross multiply
    247,900x = 343,002.72 × 216,135.04
  4. Step 4: Simplify right side
    247,900x = 74,134,906,607.31
  5. Step 5: Solve for x
    x = 74,134,906,607.31/247,900
  6. Step 6: Final answer
    x = 299,051.66

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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.