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Finding the Fourth Proportional to 542,706, 748,943.64 and 300,999.12

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Solution

The fourth proportional to 542,706, 748,943.64 and 300,999.12 is: 415,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706 : 748,943.64 = 300,999.12 : x
  2. Step 2: Convert to fraction form
    542,706/748,943.64 = 300,999.12/x
  3. Step 3: Cross multiply
    542,706x = 748,943.64 × 300,999.12
  4. Step 4: Simplify right side
    542,706x = 225,431,376,569.60
  5. Step 5: Solve for x
    x = 225,431,376,569.60/542,706
  6. Step 6: Final answer
    x = 415,383.98

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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.