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Finding the Fourth Proportional to 542,705.34, 748,958.37 and 300,973.51

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Solution

The fourth proportional to 542,705.34, 748,958.37 and 300,973.51 is: 415,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,705.34 : 748,958.37 = 300,973.51 : x
  2. Step 2: Convert to fraction form
    542,705.34/748,958.37 = 300,973.51/x
  3. Step 3: Cross multiply
    542,705.34x = 748,958.37 × 300,973.51
  4. Step 4: Simplify right side
    542,705.34x = 225,416,627,590.38
  5. Step 5: Solve for x
    x = 225,416,627,590.38/542,705.34
  6. Step 6: Final answer
    x = 415,357.31

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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.