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Finding the Fourth Proportional to 370,305.60, 511,015.68 and 200,538.24

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Solution

The fourth proportional to 370,305.60, 511,015.68 and 200,538.24 is: 276,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,305.60 : 511,015.68 = 200,538.24 : x
  2. Step 2: Convert to fraction form
    370,305.60/511,015.68 = 200,538.24/x
  3. Step 3: Cross multiply
    370,305.60x = 511,015.68 × 200,538.24
  4. Step 4: Simplify right side
    370,305.60x = 102,478,185,079.60
  5. Step 5: Solve for x
    x = 102,478,185,079.60/370,305.60
  6. Step 6: Final answer
    x = 276,739.50

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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.