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Finding the Fourth Proportional to 298,029.96, 411,297.48 and 170,701.20

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Solution

The fourth proportional to 298,029.96, 411,297.48 and 170,701.20 is: 235,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,029.96 : 411,297.48 = 170,701.20 : x
  2. Step 2: Convert to fraction form
    298,029.96/411,297.48 = 170,701.20/x
  3. Step 3: Cross multiply
    298,029.96x = 411,297.48 × 170,701.20
  4. Step 4: Simplify right side
    298,029.96x = 70,208,973,392.98
  5. Step 5: Solve for x
    x = 70,208,973,392.98/298,029.96
  6. Step 6: Final answer
    x = 235,576.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.