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Finding the Fourth Proportional to 257,489.62, 355,323.29 and 142,772.92

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Solution

The fourth proportional to 257,489.62, 355,323.29 and 142,772.92 is: 197,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,489.62 : 355,323.29 = 142,772.92 : x
  2. Step 2: Convert to fraction form
    257,489.62/355,323.29 = 142,772.92/x
  3. Step 3: Cross multiply
    257,489.62x = 355,323.29 × 142,772.92
  4. Step 4: Simplify right side
    257,489.62x = 50,730,544,724.08
  5. Step 5: Solve for x
    x = 50,730,544,724.08/257,489.62
  6. Step 6: Final answer
    x = 197,019.77

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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.