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Finding the Fourth Proportional to 257,300.64, 386,102.88 and 143,544

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Solution

The fourth proportional to 257,300.64, 386,102.88 and 143,544 is: 215,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,300.64 : 386,102.88 = 143,544 : x
  2. Step 2: Convert to fraction form
    257,300.64/386,102.88 = 143,544/x
  3. Step 3: Cross multiply
    257,300.64x = 386,102.88 × 143,544
  4. Step 4: Simplify right side
    257,300.64x = 55,422,751,806.72
  5. Step 5: Solve for x
    x = 55,422,751,806.72/257,300.64
  6. Step 6: Final answer
    x = 215,400.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.