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Finding the Fourth Proportional to 298,735.56, 448,078.77 and 98,990.64

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Solution

The fourth proportional to 298,735.56, 448,078.77 and 98,990.64 is: 148,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,735.56 : 448,078.77 = 98,990.64 : x
  2. Step 2: Convert to fraction form
    298,735.56/448,078.77 = 98,990.64/x
  3. Step 3: Cross multiply
    298,735.56x = 448,078.77 × 98,990.64
  4. Step 4: Simplify right side
    298,735.56x = 44,355,604,212.71
  5. Step 5: Solve for x
    x = 44,355,604,212.71/298,735.56
  6. Step 6: Final answer
    x = 148,477.82

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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.