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Finding the Fourth Proportional to 347,288.52, 520,258.70 and 255,938

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Solution

The fourth proportional to 347,288.52, 520,258.70 and 255,938 is: 383,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,288.52 : 520,258.70 = 255,938 : x
  2. Step 2: Convert to fraction form
    347,288.52/520,258.70 = 255,938/x
  3. Step 3: Cross multiply
    347,288.52x = 520,258.70 × 255,938
  4. Step 4: Simplify right side
    347,288.52x = 133,153,971,160.60
  5. Step 5: Solve for x
    x = 133,153,971,160.60/347,288.52
  6. Step 6: Final answer
    x = 383,410.23

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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.