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Finding the Fourth Proportional to 370,647.68, 511,489.23 and 200,878.16

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Solution

The fourth proportional to 370,647.68, 511,489.23 and 200,878.16 is: 277,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,647.68 : 511,489.23 = 200,878.16 : x
  2. Step 2: Convert to fraction form
    370,647.68/511,489.23 = 200,878.16/x
  3. Step 3: Cross multiply
    370,647.68x = 511,489.23 × 200,878.16
  4. Step 4: Simplify right side
    370,647.68x = 102,747,015,382.22
  5. Step 5: Solve for x
    x = 102,747,015,382.22/370,647.68
  6. Step 6: Final answer
    x = 277,209.38

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1.5x scale

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.