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Finding the Fourth Proportional to 299,815.20, 449,204.40 and 141,703.20

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Solution

The fourth proportional to 299,815.20, 449,204.40 and 141,703.20 is: 212,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,815.20 : 449,204.40 = 141,703.20 : x
  2. Step 2: Convert to fraction form
    299,815.20/449,204.40 = 141,703.20/x
  3. Step 3: Cross multiply
    299,815.20x = 449,204.40 × 141,703.20
  4. Step 4: Simplify right side
    299,815.20x = 63,653,700,934.08
  5. Step 5: Solve for x
    x = 63,653,700,934.08/299,815.20
  6. Step 6: Final answer
    x = 212,309.79

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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.