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Finding the Fourth Proportional to 284,262.16, 426,616.10 and 198,314.12

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Solution

The fourth proportional to 284,262.16, 426,616.10 and 198,314.12 is: 297,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,262.16 : 426,616.10 = 198,314.12 : x
  2. Step 2: Convert to fraction form
    284,262.16/426,616.10 = 198,314.12/x
  3. Step 3: Cross multiply
    284,262.16x = 426,616.10 × 198,314.12
  4. Step 4: Simplify right side
    284,262.16x = 84,603,996,449.33
  5. Step 5: Solve for x
    x = 84,603,996,449.33/284,262.16
  6. Step 6: Final answer
    x = 297,626.66

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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.