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Finding the Fourth Proportional to 347,287.52, 520,257.20 and 255,937

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Solution

The fourth proportional to 347,287.52, 520,257.20 and 255,937 is: 383,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,287.52 : 520,257.20 = 255,937 : x
  2. Step 2: Convert to fraction form
    347,287.52/520,257.20 = 255,937/x
  3. Step 3: Cross multiply
    347,287.52x = 520,257.20 × 255,937
  4. Step 4: Simplify right side
    347,287.52x = 133,153,066,996.40
  5. Step 5: Solve for x
    x = 133,153,066,996.40/347,287.52
  6. Step 6: Final answer
    x = 383,408.73

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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.