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Finding the Fourth Proportional to 283,644.29, 391,423.82 and 154,583.81

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Solution

The fourth proportional to 283,644.29, 391,423.82 and 154,583.81 is: 213,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,644.29 : 391,423.82 = 154,583.81 : x
  2. Step 2: Convert to fraction form
    283,644.29/391,423.82 = 154,583.81/x
  3. Step 3: Cross multiply
    283,644.29x = 391,423.82 × 154,583.81
  4. Step 4: Simplify right side
    283,644.29x = 60,507,782,690.32
  5. Step 5: Solve for x
    x = 60,507,782,690.32/283,644.29
  6. Step 6: Final answer
    x = 213,322.76

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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.