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Finding the Fourth Proportional to 542,750.09, 749,084.79 and 301,110.51

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Solution

The fourth proportional to 542,750.09, 749,084.79 and 301,110.51 is: 415,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,750.09 : 749,084.79 = 301,110.51 : x
  2. Step 2: Convert to fraction form
    542,750.09/749,084.79 = 301,110.51/x
  3. Step 3: Cross multiply
    542,750.09x = 749,084.79 × 301,110.51
  4. Step 4: Simplify right side
    542,750.09x = 225,557,306,096.90
  5. Step 5: Solve for x
    x = 225,557,306,096.90/542,750.09
  6. Step 6: Final answer
    x = 415,582.25

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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.