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Finding the Fourth Proportional to 542,240, 748,299.84 and 303,776

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Solution

The fourth proportional to 542,240, 748,299.84 and 303,776 is: 419,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,240 : 748,299.84 = 303,776 : x
  2. Step 2: Convert to fraction form
    542,240/748,299.84 = 303,776/x
  3. Step 3: Cross multiply
    542,240x = 748,299.84 × 303,776
  4. Step 4: Simplify right side
    542,240x = 227,315,532,195.84
  5. Step 5: Solve for x
    x = 227,315,532,195.84/542,240
  6. Step 6: Final answer
    x = 419,215.72

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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.