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Finding the Fourth Proportional to 542,842.93, 749,062.83 and 301,064.95

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Solution

The fourth proportional to 542,842.93, 749,062.83 and 301,064.95 is: 415,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,842.93 : 749,062.83 = 301,064.95 : x
  2. Step 2: Convert to fraction form
    542,842.93/749,062.83 = 301,064.95/x
  3. Step 3: Cross multiply
    542,842.93x = 749,062.83 × 301,064.95
  4. Step 4: Simplify right side
    542,842.93x = 225,516,563,460.81
  5. Step 5: Solve for x
    x = 225,516,563,460.81/542,842.93
  6. Step 6: Final answer
    x = 415,436.13

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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.