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Finding the Fourth Proportional to 538,052.90, 742,458.06 and 331,288.45

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Solution

The fourth proportional to 538,052.90, 742,458.06 and 331,288.45 is: 457,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,052.90 : 742,458.06 = 331,288.45 : x
  2. Step 2: Convert to fraction form
    538,052.90/742,458.06 = 331,288.45/x
  3. Step 3: Cross multiply
    538,052.90x = 742,458.06 × 331,288.45
  4. Step 4: Simplify right side
    538,052.90x = 245,967,778,031.26
  5. Step 5: Solve for x
    x = 245,967,778,031.26/538,052.90
  6. Step 6: Final answer
    x = 457,144.23

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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.