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Finding the Fourth Proportional to 298,855.50, 448,281.02 and 85,623.59

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Solution

The fourth proportional to 298,855.50, 448,281.02 and 85,623.59 is: 128,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,855.50 : 448,281.02 = 85,623.59 : x
  2. Step 2: Convert to fraction form
    298,855.50/448,281.02 = 85,623.59/x
  3. Step 3: Cross multiply
    298,855.50x = 448,281.02 × 85,623.59
  4. Step 4: Simplify right side
    298,855.50x = 38,383,431,744.79
  5. Step 5: Solve for x
    x = 38,383,431,744.79/298,855.50
  6. Step 6: Final answer
    x = 128,434.75

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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.