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Finding the Fourth Proportional to 347,684.60, 520,922.10 and 160,311.80

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Solution

The fourth proportional to 347,684.60, 520,922.10 and 160,311.80 is: 240,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,684.60 : 520,922.10 = 160,311.80 : x
  2. Step 2: Convert to fraction form
    347,684.60/520,922.10 = 160,311.80/x
  3. Step 3: Cross multiply
    347,684.60x = 520,922.10 × 160,311.80
  4. Step 4: Simplify right side
    347,684.60x = 83,509,959,510.78
  5. Step 5: Solve for x
    x = 83,509,959,510.78/347,684.60
  6. Step 6: Final answer
    x = 240,188.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.