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Finding the Fourth Proportional to 370,486.49, 511,271.85 and 200,720.61

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Solution

The fourth proportional to 370,486.49, 511,271.85 and 200,720.61 is: 276,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,486.49 : 511,271.85 = 200,720.61 : x
  2. Step 2: Convert to fraction form
    370,486.49/511,271.85 = 200,720.61/x
  3. Step 3: Cross multiply
    370,486.49x = 511,271.85 × 200,720.61
  4. Step 4: Simplify right side
    370,486.49x = 102,622,797,607.83
  5. Step 5: Solve for x
    x = 102,622,797,607.83/370,486.49
  6. Step 6: Final answer
    x = 276,994.71

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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.