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Finding the Fourth Proportional to 298,002.80, 446,615.40 and 120,364.40

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Solution

The fourth proportional to 298,002.80, 446,615.40 and 120,364.40 is: 180,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.80 : 446,615.40 = 120,364.40 : x
  2. Step 2: Convert to fraction form
    298,002.80/446,615.40 = 120,364.40/x
  3. Step 3: Cross multiply
    298,002.80x = 446,615.40 × 120,364.40
  4. Step 4: Simplify right side
    298,002.80x = 53,756,594,651.76
  5. Step 5: Solve for x
    x = 53,756,594,651.76/298,002.80
  6. Step 6: Final answer
    x = 180,389.56

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1.5x scale

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.