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Finding the Fourth Proportional to 257,458.65, 385,685.22 and 122,330.42

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Solution

The fourth proportional to 257,458.65, 385,685.22 and 122,330.42 is: 183,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,458.65 : 385,685.22 = 122,330.42 : x
  2. Step 2: Convert to fraction form
    257,458.65/385,685.22 = 122,330.42/x
  3. Step 3: Cross multiply
    257,458.65x = 385,685.22 × 122,330.42
  4. Step 4: Simplify right side
    257,458.65x = 47,181,033,021.97
  5. Step 5: Solve for x
    x = 47,181,033,021.97/257,458.65
  6. Step 6: Final answer
    x = 183,256.74

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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.