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Finding the Fourth Proportional to 507,977.93, 762,008.31 and 255,128.33

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Solution

The fourth proportional to 507,977.93, 762,008.31 and 255,128.33 is: 382,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,977.93 : 762,008.31 = 255,128.33 : x
  2. Step 2: Convert to fraction form
    507,977.93/762,008.31 = 255,128.33/x
  3. Step 3: Cross multiply
    507,977.93x = 762,008.31 × 255,128.33
  4. Step 4: Simplify right side
    507,977.93x = 194,409,903,766.38
  5. Step 5: Solve for x
    x = 194,409,903,766.38/507,977.93
  6. Step 6: Final answer
    x = 382,713.29

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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.