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Finding the Fourth Proportional to 257,911.56, 355,901.04 and 150,464.25

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Solution

The fourth proportional to 257,911.56, 355,901.04 and 150,464.25 is: 207,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,911.56 : 355,901.04 = 150,464.25 : x
  2. Step 2: Convert to fraction form
    257,911.56/355,901.04 = 150,464.25/x
  3. Step 3: Cross multiply
    257,911.56x = 355,901.04 × 150,464.25
  4. Step 4: Simplify right side
    257,911.56x = 53,550,383,057.82
  5. Step 5: Solve for x
    x = 53,550,383,057.82/257,911.56
  6. Step 6: Final answer
    x = 207,630.80

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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.