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Finding the Fourth Proportional to 298,482.42, 411,934.77 and 222,899.70

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Solution

The fourth proportional to 298,482.42, 411,934.77 and 222,899.70 is: 307,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,482.42 : 411,934.77 = 222,899.70 : x
  2. Step 2: Convert to fraction form
    298,482.42/411,934.77 = 222,899.70/x
  3. Step 3: Cross multiply
    298,482.42x = 411,934.77 × 222,899.70
  4. Step 4: Simplify right side
    298,482.42x = 91,820,136,652.57
  5. Step 5: Solve for x
    x = 91,820,136,652.57/298,482.42
  6. Step 6: Final answer
    x = 307,623.27

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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.