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Finding the Fourth Proportional to 370,043.96, 510,660.64 and 200,278.08

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Solution

The fourth proportional to 370,043.96, 510,660.64 and 200,278.08 is: 276,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,043.96 : 510,660.64 = 200,278.08 : x
  2. Step 2: Convert to fraction form
    370,043.96/510,660.64 = 200,278.08/x
  3. Step 3: Cross multiply
    370,043.96x = 510,660.64 × 200,278.08
  4. Step 4: Simplify right side
    370,043.96x = 102,274,132,510.77
  5. Step 5: Solve for x
    x = 102,274,132,510.77/370,043.96
  6. Step 6: Final answer
    x = 276,383.74

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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.