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Finding the Fourth Proportional to 299,290.77, 449,000.31 and 86,056.82

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Solution

The fourth proportional to 299,290.77, 449,000.31 and 86,056.82 is: 129,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,290.77 : 449,000.31 = 86,056.82 : x
  2. Step 2: Convert to fraction form
    299,290.77/449,000.31 = 86,056.82/x
  3. Step 3: Cross multiply
    299,290.77x = 449,000.31 × 86,056.82
  4. Step 4: Simplify right side
    299,290.77x = 38,639,536,612.61
  5. Step 5: Solve for x
    x = 38,639,536,612.61/299,290.77
  6. Step 6: Final answer
    x = 129,103.67

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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.