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Finding the Fourth Proportional to 347,689.76, 479,795.28 and 213,527.84

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Solution

The fourth proportional to 347,689.76, 479,795.28 and 213,527.84 is: 294,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,689.76 : 479,795.28 = 213,527.84 : x
  2. Step 2: Convert to fraction form
    347,689.76/479,795.28 = 213,527.84/x
  3. Step 3: Cross multiply
    347,689.76x = 479,795.28 × 213,527.84
  4. Step 4: Simplify right side
    347,689.76x = 102,449,649,780.60
  5. Step 5: Solve for x
    x = 102,449,649,780.60/347,689.76
  6. Step 6: Final answer
    x = 294,658.23

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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.