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Finding the Fourth Proportional to 298,853.94, 448,334.55 and 99,137.10

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Solution

The fourth proportional to 298,853.94, 448,334.55 and 99,137.10 is: 148,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,853.94 : 448,334.55 = 99,137.10 : x
  2. Step 2: Convert to fraction form
    298,853.94/448,334.55 = 99,137.10/x
  3. Step 3: Cross multiply
    298,853.94x = 448,334.55 × 99,137.10
  4. Step 4: Simplify right side
    298,853.94x = 44,446,587,116.81
  5. Step 5: Solve for x
    x = 44,446,587,116.81/298,853.94
  6. Step 6: Final answer
    x = 148,723.44

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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.