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Finding the Fourth Proportional to 298,887.84, 448,302.60 and 85,648.05

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Solution

The fourth proportional to 298,887.84, 448,302.60 and 85,648.05 is: 128,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,887.84 : 448,302.60 = 85,648.05 : x
  2. Step 2: Convert to fraction form
    298,887.84/448,302.60 = 85,648.05/x
  3. Step 3: Cross multiply
    298,887.84x = 448,302.60 × 85,648.05
  4. Step 4: Simplify right side
    298,887.84x = 38,396,243,499.93
  5. Step 5: Solve for x
    x = 38,396,243,499.93/298,887.84
  6. Step 6: Final answer
    x = 128,463.72

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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.