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Finding the Fourth Proportional to 421,897.10, 582,215.90 and 228,304.67

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Solution

The fourth proportional to 421,897.10, 582,215.90 and 228,304.67 is: 315,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,897.10 : 582,215.90 = 228,304.67 : x
  2. Step 2: Convert to fraction form
    421,897.10/582,215.90 = 228,304.67/x
  3. Step 3: Cross multiply
    421,897.10x = 582,215.90 × 228,304.67
  4. Step 4: Simplify right side
    421,897.10x = 132,922,604,865.65
  5. Step 5: Solve for x
    x = 132,922,604,865.65/421,897.10
  6. Step 6: Final answer
    x = 315,059.30

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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.