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Finding the Fourth Proportional to 411,822.83, 618,133.72 and 198,740.70

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Solution

The fourth proportional to 411,822.83, 618,133.72 and 198,740.70 is: 298,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,822.83 : 618,133.72 = 198,740.70 : x
  2. Step 2: Convert to fraction form
    411,822.83/618,133.72 = 198,740.70/x
  3. Step 3: Cross multiply
    411,822.83x = 618,133.72 × 198,740.70
  4. Step 4: Simplify right side
    411,822.83x = 122,848,328,671.96
  5. Step 5: Solve for x
    x = 122,848,328,671.96/411,822.83
  6. Step 6: Final answer
    x = 298,303.84

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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.