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Finding the Fourth Proportional to 542,119.64, 748,153.26 and 300,429.41

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Solution

The fourth proportional to 542,119.64, 748,153.26 and 300,429.41 is: 414,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,119.64 : 748,153.26 = 300,429.41 : x
  2. Step 2: Convert to fraction form
    542,119.64/748,153.26 = 300,429.41/x
  3. Step 3: Cross multiply
    542,119.64x = 748,153.26 × 300,429.41
  4. Step 4: Simplify right side
    542,119.64x = 224,767,238,750.61
  5. Step 5: Solve for x
    x = 224,767,238,750.61/542,119.64
  6. Step 6: Final answer
    x = 414,608.19

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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.