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Finding the Fourth Proportional to 542,021.30, 747,979.68 and 300,299.01

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Solution

The fourth proportional to 542,021.30, 747,979.68 and 300,299.01 is: 414,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,021.30 : 747,979.68 = 300,299.01 : x
  2. Step 2: Convert to fraction form
    542,021.30/747,979.68 = 300,299.01/x
  3. Step 3: Cross multiply
    542,021.30x = 747,979.68 × 300,299.01
  4. Step 4: Simplify right side
    542,021.30x = 224,617,557,404.12
  5. Step 5: Solve for x
    x = 224,617,557,404.12/542,021.30
  6. Step 6: Final answer
    x = 414,407.26

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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.