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Finding the Fourth Proportional to 843,138, 1,264,613.85 and 212,052.06

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Solution

The fourth proportional to 843,138, 1,264,613.85 and 212,052.06 is: 318,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,138 : 1,264,613.85 = 212,052.06 : x
  2. Step 2: Convert to fraction form
    843,138/1,264,613.85 = 212,052.06/x
  3. Step 3: Cross multiply
    843,138x = 1,264,613.85 × 212,052.06
  4. Step 4: Simplify right side
    843,138x = 268,163,971,997.03
  5. Step 5: Solve for x
    x = 268,163,971,997.03/843,138
  6. Step 6: Final answer
    x = 318,054.66

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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.