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Finding the Fourth Proportional to 542,705.58, 748,958.70 and 300,973.74

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Solution

The fourth proportional to 542,705.58, 748,958.70 and 300,973.74 is: 415,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,705.58 : 748,958.70 = 300,973.74 : x
  2. Step 2: Convert to fraction form
    542,705.58/748,958.70 = 300,973.74/x
  3. Step 3: Cross multiply
    542,705.58x = 748,958.70 × 300,973.74
  4. Step 4: Simplify right side
    542,705.58x = 225,416,901,044.54
  5. Step 5: Solve for x
    x = 225,416,901,044.54/542,705.58
  6. Step 6: Final answer
    x = 415,357.63

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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.