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Finding the Fourth Proportional to 417,243.15, 625,977.05 and 214,728.91

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Solution

The fourth proportional to 417,243.15, 625,977.05 and 214,728.91 is: 322,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,243.15 : 625,977.05 = 214,728.91 : x
  2. Step 2: Convert to fraction form
    417,243.15/625,977.05 = 214,728.91/x
  3. Step 3: Cross multiply
    417,243.15x = 625,977.05 × 214,728.91
  4. Step 4: Simplify right side
    417,243.15x = 134,415,366,992.93
  5. Step 5: Solve for x
    x = 134,415,366,992.93/417,243.15
  6. Step 6: Final answer
    x = 322,151.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.