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Finding the Fourth Proportional to 507,954.97, 761,973.96 and 255,105.42

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Solution

The fourth proportional to 507,954.97, 761,973.96 and 255,105.42 is: 382,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,954.97 : 761,973.96 = 255,105.42 : x
  2. Step 2: Convert to fraction form
    507,954.97/761,973.96 = 255,105.42/x
  3. Step 3: Cross multiply
    507,954.97x = 761,973.96 × 255,105.42
  4. Step 4: Simplify right side
    507,954.97x = 194,383,690,905.78
  5. Step 5: Solve for x
    x = 194,383,690,905.78/507,954.97
  6. Step 6: Final answer
    x = 382,678.98

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Similar ratio
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1.5x scale

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.