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Finding the Fourth Proportional to 257,286.68, 355,055.62 and 156,684.68

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Solution

The fourth proportional to 257,286.68, 355,055.62 and 156,684.68 is: 216,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,286.68 : 355,055.62 = 156,684.68 : x
  2. Step 2: Convert to fraction form
    257,286.68/355,055.62 = 156,684.68/x
  3. Step 3: Cross multiply
    257,286.68x = 355,055.62 × 156,684.68
  4. Step 4: Simplify right side
    257,286.68x = 55,631,776,201.90
  5. Step 5: Solve for x
    x = 55,631,776,201.90/257,286.68
  6. Step 6: Final answer
    x = 216,224.86

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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.