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Finding the Fourth Proportional to 309,391.50, 426,161.65 and 218,589.84

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Solution

The fourth proportional to 309,391.50, 426,161.65 and 218,589.84 is: 301,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,391.50 : 426,161.65 = 218,589.84 : x
  2. Step 2: Convert to fraction form
    309,391.50/426,161.65 = 218,589.84/x
  3. Step 3: Cross multiply
    309,391.50x = 426,161.65 × 218,589.84
  4. Step 4: Simplify right side
    309,391.50x = 93,154,604,729.28
  5. Step 5: Solve for x
    x = 93,154,604,729.28/309,391.50
  6. Step 6: Final answer
    x = 301,089.74

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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.