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Finding the Fourth Proportional to 421,908.45, 582,211.31 and 230,884.93

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Solution

The fourth proportional to 421,908.45, 582,211.31 and 230,884.93 is: 318,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,908.45 : 582,211.31 = 230,884.93 : x
  2. Step 2: Convert to fraction form
    421,908.45/582,211.31 = 230,884.93/x
  3. Step 3: Cross multiply
    421,908.45x = 582,211.31 × 230,884.93
  4. Step 4: Simplify right side
    421,908.45x = 134,423,818,426.63
  5. Step 5: Solve for x
    x = 134,423,818,426.63/421,908.45
  6. Step 6: Final answer
    x = 318,608.98

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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.