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Finding the Fourth Proportional to 539,274, 744,198.12 and 300,810

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Solution

The fourth proportional to 539,274, 744,198.12 and 300,810 is: 415,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,274 : 744,198.12 = 300,810 : x
  2. Step 2: Convert to fraction form
    539,274/744,198.12 = 300,810/x
  3. Step 3: Cross multiply
    539,274x = 744,198.12 × 300,810
  4. Step 4: Simplify right side
    539,274x = 223,862,236,477.20
  5. Step 5: Solve for x
    x = 223,862,236,477.20/539,274
  6. Step 6: Final answer
    x = 415,117.80

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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.