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Finding the Fourth Proportional to 257,761.32, 355,712.84 and 143,047.71

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Solution

The fourth proportional to 257,761.32, 355,712.84 and 143,047.71 is: 197,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,761.32 : 355,712.84 = 143,047.71 : x
  2. Step 2: Convert to fraction form
    257,761.32/355,712.84 = 143,047.71/x
  3. Step 3: Cross multiply
    257,761.32x = 355,712.84 × 143,047.71
  4. Step 4: Simplify right side
    257,761.32x = 50,883,906,464.36
  5. Step 5: Solve for x
    x = 50,883,906,464.36/257,761.32
  6. Step 6: Final answer
    x = 197,407.07

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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.