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Finding the Fourth Proportional to 538,007.58, 742,422.02 and 308,553

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Solution

The fourth proportional to 538,007.58, 742,422.02 and 308,553 is: 425,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,007.58 : 742,422.02 = 308,553 : x
  2. Step 2: Convert to fraction form
    538,007.58/742,422.02 = 308,553/x
  3. Step 3: Cross multiply
    538,007.58x = 742,422.02 × 308,553
  4. Step 4: Simplify right side
    538,007.58x = 229,076,541,537.06
  5. Step 5: Solve for x
    x = 229,076,541,537.06/538,007.58
  6. Step 6: Final answer
    x = 425,786.83

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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.