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Finding the Fourth Proportional to 538,038, 742,544.28 and 299,574

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Solution

The fourth proportional to 538,038, 742,544.28 and 299,574 is: 413,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,038 : 742,544.28 = 299,574 : x
  2. Step 2: Convert to fraction form
    538,038/742,544.28 = 299,574/x
  3. Step 3: Cross multiply
    538,038x = 742,544.28 × 299,574
  4. Step 4: Simplify right side
    538,038x = 222,446,960,136.72
  5. Step 5: Solve for x
    x = 222,446,960,136.72/538,038
  6. Step 6: Final answer
    x = 413,440.98

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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.