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Finding the Fourth Proportional to 4,978,149.92, 7,468,774.96 and 1,783,303.78

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Solution

The fourth proportional to 4,978,149.92, 7,468,774.96 and 1,783,303.78 is: 2,675,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,149.92 : 7,468,774.96 = 1,783,303.78 : x
  2. Step 2: Convert to fraction form
    4,978,149.92/7,468,774.96 = 1,783,303.78/x
  3. Step 3: Cross multiply
    4,978,149.92x = 7,468,774.96 × 1,783,303.78
  4. Step 4: Simplify right side
    4,978,149.92x = 13,319,094,618,137.35
  5. Step 5: Solve for x
    x = 13,319,094,618,137.35/4,978,149.92
  6. Step 6: Final answer
    x = 2,675,510.95

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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.