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Finding the Fourth Proportional to 474,896.77, 655,357.81 and 257,105.50

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Solution

The fourth proportional to 474,896.77, 655,357.81 and 257,105.50 is: 354,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,896.77 : 655,357.81 = 257,105.50 : x
  2. Step 2: Convert to fraction form
    474,896.77/655,357.81 = 257,105.50/x
  3. Step 3: Cross multiply
    474,896.77x = 655,357.81 × 257,105.50
  4. Step 4: Simplify right side
    474,896.77x = 168,496,096,342.98
  5. Step 5: Solve for x
    x = 168,496,096,342.98/474,896.77
  6. Step 6: Final answer
    x = 354,805.73

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1.5x scale

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.