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Finding the Fourth Proportional to 257,690.16, 355,600.42 and 142,967.58

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Solution

The fourth proportional to 257,690.16, 355,600.42 and 142,967.58 is: 197,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.16 : 355,600.42 = 142,967.58 : x
  2. Step 2: Convert to fraction form
    257,690.16/355,600.42 = 142,967.58/x
  3. Step 3: Cross multiply
    257,690.16x = 355,600.42 × 142,967.58
  4. Step 4: Simplify right side
    257,690.16x = 50,839,331,673.09
  5. Step 5: Solve for x
    x = 50,839,331,673.09/257,690.16
  6. Step 6: Final answer
    x = 197,288.60

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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.