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Finding the Fourth Proportional to 538,020.88, 742,301.28 and 305,409.12

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Solution

The fourth proportional to 538,020.88, 742,301.28 and 305,409.12 is: 421,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,020.88 : 742,301.28 = 305,409.12 : x
  2. Step 2: Convert to fraction form
    538,020.88/742,301.28 = 305,409.12/x
  3. Step 3: Cross multiply
    538,020.88x = 742,301.28 × 305,409.12
  4. Step 4: Simplify right side
    538,020.88x = 226,705,580,699.67
  5. Step 5: Solve for x
    x = 226,705,580,699.67/538,020.88
  6. Step 6: Final answer
    x = 421,369.48

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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.