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Finding the Fourth Proportional to 257,422.96, 355,185.66 and 155,464.96

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Solution

The fourth proportional to 257,422.96, 355,185.66 and 155,464.96 is: 214,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,422.96 : 355,185.66 = 155,464.96 : x
  2. Step 2: Convert to fraction form
    257,422.96/355,185.66 = 155,464.96/x
  3. Step 3: Cross multiply
    257,422.96x = 355,185.66 × 155,464.96
  4. Step 4: Simplify right side
    257,422.96x = 55,218,924,424.47
  5. Step 5: Solve for x
    x = 55,218,924,424.47/257,422.96
  6. Step 6: Final answer
    x = 214,506.60

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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.