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Finding the Fourth Proportional to 257,853.12, 355,843.44 and 144,684.24

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Solution

The fourth proportional to 257,853.12, 355,843.44 and 144,684.24 is: 199,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,853.12 : 355,843.44 = 144,684.24 : x
  2. Step 2: Convert to fraction form
    257,853.12/355,843.44 = 144,684.24/x
  3. Step 3: Cross multiply
    257,853.12x = 355,843.44 × 144,684.24
  4. Step 4: Simplify right side
    257,853.12x = 51,484,937,675.39
  5. Step 5: Solve for x
    x = 51,484,937,675.39/257,853.12
  6. Step 6: Final answer
    x = 199,667.69

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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.