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Finding the Fourth Proportional to 421,818.84, 582,108.93 and 230,830.56

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Solution

The fourth proportional to 421,818.84, 582,108.93 and 230,830.56 is: 318,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,818.84 : 582,108.93 = 230,830.56 : x
  2. Step 2: Convert to fraction form
    421,818.84/582,108.93 = 230,830.56/x
  3. Step 3: Cross multiply
    421,818.84x = 582,108.93 × 230,830.56
  4. Step 4: Simplify right side
    421,818.84x = 134,368,530,292.90
  5. Step 5: Solve for x
    x = 134,368,530,292.90/421,818.84
  6. Step 6: Final answer
    x = 318,545.59

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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.