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Finding the Fourth Proportional to 347,282.60, 520,923.90 and 213,729.80

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Solution

The fourth proportional to 347,282.60, 520,923.90 and 213,729.80 is: 320,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,282.60 : 520,923.90 = 213,729.80 : x
  2. Step 2: Convert to fraction form
    347,282.60/520,923.90 = 213,729.80/x
  3. Step 3: Cross multiply
    347,282.60x = 520,923.90 × 213,729.80
  4. Step 4: Simplify right side
    347,282.60x = 111,336,960,962.22
  5. Step 5: Solve for x
    x = 111,336,960,962.22/347,282.60
  6. Step 6: Final answer
    x = 320,594.70

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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.