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Finding the Fourth Proportional to 298,749.80, 448,124.70 and 259,383.80

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Solution

The fourth proportional to 298,749.80, 448,124.70 and 259,383.80 is: 389,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,749.80 : 448,124.70 = 259,383.80 : x
  2. Step 2: Convert to fraction form
    298,749.80/448,124.70 = 259,383.80/x
  3. Step 3: Cross multiply
    298,749.80x = 448,124.70 × 259,383.80
  4. Step 4: Simplify right side
    298,749.80x = 116,236,287,559.86
  5. Step 5: Solve for x
    x = 116,236,287,559.86/298,749.80
  6. Step 6: Final answer
    x = 389,075.70

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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.