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Finding the Fourth Proportional to 538,162.59, 742,668.17 and 308,729.89

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Solution

The fourth proportional to 538,162.59, 742,668.17 and 308,729.89 is: 426,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,162.59 : 742,668.17 = 308,729.89 : x
  2. Step 2: Convert to fraction form
    538,162.59/742,668.17 = 308,729.89/x
  3. Step 3: Cross multiply
    538,162.59x = 742,668.17 × 308,729.89
  4. Step 4: Simplify right side
    538,162.59x = 229,283,859,030.28
  5. Step 5: Solve for x
    x = 229,283,859,030.28/538,162.59
  6. Step 6: Final answer
    x = 426,049.42

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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.