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Finding the Fourth Proportional to 507,141.28, 699,852.56 and 274,568.40

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Solution

The fourth proportional to 507,141.28, 699,852.56 and 274,568.40 is: 378,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,141.28 : 699,852.56 = 274,568.40 : x
  2. Step 2: Convert to fraction form
    507,141.28/699,852.56 = 274,568.40/x
  3. Step 3: Cross multiply
    507,141.28x = 699,852.56 × 274,568.40
  4. Step 4: Simplify right side
    507,141.28x = 192,157,397,635.10
  5. Step 5: Solve for x
    x = 192,157,397,635.10/507,141.28
  6. Step 6: Final answer
    x = 378,903.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.