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Finding the Fourth Proportional to 542,652, 748,859.76 and 304,188

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Solution

The fourth proportional to 542,652, 748,859.76 and 304,188 is: 419,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,652 : 748,859.76 = 304,188 : x
  2. Step 2: Convert to fraction form
    542,652/748,859.76 = 304,188/x
  3. Step 3: Cross multiply
    542,652x = 748,859.76 × 304,188
  4. Step 4: Simplify right side
    542,652x = 227,794,152,674.88
  5. Step 5: Solve for x
    x = 227,794,152,674.88/542,652
  6. Step 6: Final answer
    x = 419,779.44

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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.