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Finding the Fourth Proportional to 299,788.40, 449,904.40 and 142,017.20

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Solution

The fourth proportional to 299,788.40, 449,904.40 and 142,017.20 is: 213,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,788.40 : 449,904.40 = 142,017.20 : x
  2. Step 2: Convert to fraction form
    299,788.40/449,904.40 = 142,017.20/x
  3. Step 3: Cross multiply
    299,788.40x = 449,904.40 × 142,017.20
  4. Step 4: Simplify right side
    299,788.40x = 63,894,163,155.68
  5. Step 5: Solve for x
    x = 63,894,163,155.68/299,788.40
  6. Step 6: Final answer
    x = 213,130.87

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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.