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Finding the Fourth Proportional to 257,855.75, 355,847.07 and 144,686.87

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Solution

The fourth proportional to 257,855.75, 355,847.07 and 144,686.87 is: 199,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,855.75 : 355,847.07 = 144,686.87 : x
  2. Step 2: Convert to fraction form
    257,855.75/355,847.07 = 144,686.87/x
  3. Step 3: Cross multiply
    257,855.75x = 355,847.07 × 144,686.87
  4. Step 4: Simplify right side
    257,855.75x = 51,486,398,756.97
  5. Step 5: Solve for x
    x = 51,486,398,756.97/257,855.75
  6. Step 6: Final answer
    x = 199,671.32

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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.