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Finding the Fourth Proportional to 370,487.64, 511,275.34 and 200,721.77

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Solution

The fourth proportional to 370,487.64, 511,275.34 and 200,721.77 is: 276,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,487.64 : 511,275.34 = 200,721.77 : x
  2. Step 2: Convert to fraction form
    370,487.64/511,275.34 = 200,721.77/x
  3. Step 3: Cross multiply
    370,487.64x = 511,275.34 × 200,721.77
  4. Step 4: Simplify right side
    370,487.64x = 102,624,091,202.15
  5. Step 5: Solve for x
    x = 102,624,091,202.15/370,487.64
  6. Step 6: Final answer
    x = 276,997.34

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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.