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Finding the Fourth Proportional to 299,297.60, 449,464.80 and 289,966.40

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Solution

The fourth proportional to 299,297.60, 449,464.80 and 289,966.40 is: 435,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,297.60 : 449,464.80 = 289,966.40 : x
  2. Step 2: Convert to fraction form
    299,297.60/449,464.80 = 289,966.40/x
  3. Step 3: Cross multiply
    299,297.60x = 449,464.80 × 289,966.40
  4. Step 4: Simplify right side
    299,297.60x = 130,329,689,982.72
  5. Step 5: Solve for x
    x = 130,329,689,982.72/299,297.60
  6. Step 6: Final answer
    x = 435,451.84

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1.5x scale

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.