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Finding the Fourth Proportional to 298,706.72, 448,143.11 and 130,241.76

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Solution

The fourth proportional to 298,706.72, 448,143.11 and 130,241.76 is: 195,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,706.72 : 448,143.11 = 130,241.76 : x
  2. Step 2: Convert to fraction form
    298,706.72/448,143.11 = 130,241.76/x
  3. Step 3: Cross multiply
    298,706.72x = 448,143.11 × 130,241.76
  4. Step 4: Simplify right side
    298,706.72x = 58,366,946,727.06
  5. Step 5: Solve for x
    x = 58,366,946,727.06/298,706.72
  6. Step 6: Final answer
    x = 195,398.84

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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.