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Finding the Fourth Proportional to 298,706.34, 448,142.52 and 130,241.37

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Solution

The fourth proportional to 298,706.34, 448,142.52 and 130,241.37 is: 195,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,706.34 : 448,142.52 = 130,241.37 : x
  2. Step 2: Convert to fraction form
    298,706.34/448,142.52 = 130,241.37/x
  3. Step 3: Cross multiply
    298,706.34x = 448,142.52 × 130,241.37
  4. Step 4: Simplify right side
    298,706.34x = 58,366,695,760.05
  5. Step 5: Solve for x
    x = 58,366,695,760.05/298,706.34
  6. Step 6: Final answer
    x = 195,398.25

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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.