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Finding the Fourth Proportional to 533,780.10, 800,410.95 and 296,871.30

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Solution

The fourth proportional to 533,780.10, 800,410.95 and 296,871.30 is: 445,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,780.10 : 800,410.95 = 296,871.30 : x
  2. Step 2: Convert to fraction form
    533,780.10/800,410.95 = 296,871.30/x
  3. Step 3: Cross multiply
    533,780.10x = 800,410.95 × 296,871.30
  4. Step 4: Simplify right side
    533,780.10x = 237,619,039,260.74
  5. Step 5: Solve for x
    x = 237,619,039,260.74/533,780.10
  6. Step 6: Final answer
    x = 445,162.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.