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Finding the Fourth Proportional to 257,355.96, 355,133.30 and 142,633.48

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Solution

The fourth proportional to 257,355.96, 355,133.30 and 142,633.48 is: 196,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,355.96 : 355,133.30 = 142,633.48 : x
  2. Step 2: Convert to fraction form
    257,355.96/355,133.30 = 142,633.48/x
  3. Step 3: Cross multiply
    257,355.96x = 355,133.30 × 142,633.48
  4. Step 4: Simplify right side
    257,355.96x = 50,653,898,442.88
  5. Step 5: Solve for x
    x = 50,653,898,442.88/257,355.96
  6. Step 6: Final answer
    x = 196,824.27

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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.