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Finding the Fourth Proportional to 388,873.44, 585,411 and 349,768.86

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Solution

The fourth proportional to 388,873.44, 585,411 and 349,768.86 is: 526,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,873.44 : 585,411 = 349,768.86 : x
  2. Step 2: Convert to fraction form
    388,873.44/585,411 = 349,768.86/x
  3. Step 3: Cross multiply
    388,873.44x = 585,411 × 349,768.86
  4. Step 4: Simplify right side
    388,873.44x = 204,758,538,101.46
  5. Step 5: Solve for x
    x = 204,758,538,101.46/388,873.44
  6. Step 6: Final answer
    x = 526,542.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.