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Finding the Fourth Proportional to 542,046.81, 748,014.69 and 300,328.50

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Solution

The fourth proportional to 542,046.81, 748,014.69 and 300,328.50 is: 414,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,046.81 : 748,014.69 = 300,328.50 : x
  2. Step 2: Convert to fraction form
    542,046.81/748,014.69 = 300,328.50/x
  3. Step 3: Cross multiply
    542,046.81x = 748,014.69 × 300,328.50
  4. Step 4: Simplify right side
    542,046.81x = 224,650,129,825.67
  5. Step 5: Solve for x
    x = 224,650,129,825.67/542,046.81
  6. Step 6: Final answer
    x = 414,447.84

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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.