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Finding the Fourth Proportional to 542,661, 748,872.18 and 300,980.58

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Solution

The fourth proportional to 542,661, 748,872.18 and 300,980.58 is: 415,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,661 : 748,872.18 = 300,980.58 : x
  2. Step 2: Convert to fraction form
    542,661/748,872.18 = 300,980.58/x
  3. Step 3: Cross multiply
    542,661x = 748,872.18 × 300,980.58
  4. Step 4: Simplify right side
    542,661x = 225,395,983,082.26
  5. Step 5: Solve for x
    x = 225,395,983,082.26/542,661
  6. Step 6: Final answer
    x = 415,353.20

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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.