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Finding the Fourth Proportional to 421,691.30, 581,940.56 and 230,707.88

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Solution

The fourth proportional to 421,691.30, 581,940.56 and 230,707.88 is: 318,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,691.30 : 581,940.56 = 230,707.88 : x
  2. Step 2: Convert to fraction form
    421,691.30/581,940.56 = 230,707.88/x
  3. Step 3: Cross multiply
    421,691.30x = 581,940.56 × 230,707.88
  4. Step 4: Simplify right side
    421,691.30x = 134,258,271,730.07
  5. Step 5: Solve for x
    x = 134,258,271,730.07/421,691.30
  6. Step 6: Final answer
    x = 318,380.46

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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.