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Finding the Fourth Proportional to 299,311.20, 448,966.80 and 187,118.10

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Solution

The fourth proportional to 299,311.20, 448,966.80 and 187,118.10 is: 280,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,311.20 : 448,966.80 = 187,118.10 : x
  2. Step 2: Convert to fraction form
    299,311.20/448,966.80 = 187,118.10/x
  3. Step 3: Cross multiply
    299,311.20x = 448,966.80 × 187,118.10
  4. Step 4: Simplify right side
    299,311.20x = 84,009,814,579.08
  5. Step 5: Solve for x
    x = 84,009,814,579.08/299,311.20
  6. Step 6: Final answer
    x = 280,677.15

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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.