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Finding the Fourth Proportional to 257,033.78, 354,745.79 and 160,253.33

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Solution

The fourth proportional to 257,033.78, 354,745.79 and 160,253.33 is: 221,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,033.78 : 354,745.79 = 160,253.33 : x
  2. Step 2: Convert to fraction form
    257,033.78/354,745.79 = 160,253.33/x
  3. Step 3: Cross multiply
    257,033.78x = 354,745.79 × 160,253.33
  4. Step 4: Simplify right side
    257,033.78x = 56,849,194,150.98
  5. Step 5: Solve for x
    x = 56,849,194,150.98/257,033.78
  6. Step 6: Final answer
    x = 221,174.02

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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.