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Finding the Fourth Proportional to 421,908.17, 582,210.92 and 230,884.65

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Solution

The fourth proportional to 421,908.17, 582,210.92 and 230,884.65 is: 318,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,908.17 : 582,210.92 = 230,884.65 : x
  2. Step 2: Convert to fraction form
    421,908.17/582,210.92 = 230,884.65/x
  3. Step 3: Cross multiply
    421,908.17x = 582,210.92 × 230,884.65
  4. Step 4: Simplify right side
    421,908.17x = 134,423,565,067.59
  5. Step 5: Solve for x
    x = 134,423,565,067.59/421,908.17
  6. Step 6: Final answer
    x = 318,608.59

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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.