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Finding the Fourth Proportional to 421,807.91, 582,094.96 and 230,821.31

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Solution

The fourth proportional to 421,807.91, 582,094.96 and 230,821.31 is: 318,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,807.91 : 582,094.96 = 230,821.31 : x
  2. Step 2: Convert to fraction form
    421,807.91/582,094.96 = 230,821.31/x
  3. Step 3: Cross multiply
    421,807.91x = 582,094.96 × 230,821.31
  4. Step 4: Simplify right side
    421,807.91x = 134,359,922,089.78
  5. Step 5: Solve for x
    x = 134,359,922,089.78/421,807.91
  6. Step 6: Final answer
    x = 318,533.44

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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.