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Finding the Fourth Proportional to 370,251.64, 510,947.28 and 200,485.77

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Solution

The fourth proportional to 370,251.64, 510,947.28 and 200,485.77 is: 276,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,251.64 : 510,947.28 = 200,485.77 : x
  2. Step 2: Convert to fraction form
    370,251.64/510,947.28 = 200,485.77/x
  3. Step 3: Cross multiply
    370,251.64x = 510,947.28 × 200,485.77
  4. Step 4: Simplify right side
    370,251.64x = 102,437,656,944.15
  5. Step 5: Solve for x
    x = 102,437,656,944.15/370,251.64
  6. Step 6: Final answer
    x = 276,670.37

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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.