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Finding the Fourth Proportional to 390,614.78, 538,984.62 and 227,307.84

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Solution

The fourth proportional to 390,614.78, 538,984.62 and 227,307.84 is: 313,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,614.78 : 538,984.62 = 227,307.84 : x
  2. Step 2: Convert to fraction form
    390,614.78/538,984.62 = 227,307.84/x
  3. Step 3: Cross multiply
    390,614.78x = 538,984.62 × 227,307.84
  4. Step 4: Simplify right side
    390,614.78x = 122,515,429,765.42
  5. Step 5: Solve for x
    x = 122,515,429,765.42/390,614.78
  6. Step 6: Final answer
    x = 313,647.71

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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.