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Finding the Fourth Proportional to 298,115.80, 446,828.10 and 120,506.20

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Solution

The fourth proportional to 298,115.80, 446,828.10 and 120,506.20 is: 180,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,115.80 : 446,828.10 = 120,506.20 : x
  2. Step 2: Convert to fraction form
    298,115.80/446,828.10 = 120,506.20/x
  3. Step 3: Cross multiply
    298,115.80x = 446,828.10 × 120,506.20
  4. Step 4: Simplify right side
    298,115.80x = 53,845,556,384.22
  5. Step 5: Solve for x
    x = 53,845,556,384.22/298,115.80
  6. Step 6: Final answer
    x = 180,619.60

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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.