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Finding the Fourth Proportional to 370,490, 511,273.04 and 200,723.76

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Solution

The fourth proportional to 370,490, 511,273.04 and 200,723.76 is: 276,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,490 : 511,273.04 = 200,723.76 : x
  2. Step 2: Convert to fraction form
    370,490/511,273.04 = 200,723.76/x
  3. Step 3: Cross multiply
    370,490x = 511,273.04 × 200,723.76
  4. Step 4: Simplify right side
    370,490x = 102,624,646,975.43
  5. Step 5: Solve for x
    x = 102,624,646,975.43/370,490
  6. Step 6: Final answer
    x = 276,997.08

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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.