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Finding the Fourth Proportional to 299,304.40, 448,978.20 and 180,720.40

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Solution

The fourth proportional to 299,304.40, 448,978.20 and 180,720.40 is: 271,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,304.40 : 448,978.20 = 180,720.40 : x
  2. Step 2: Convert to fraction form
    299,304.40/448,978.20 = 180,720.40/x
  3. Step 3: Cross multiply
    299,304.40x = 448,978.20 × 180,720.40
  4. Step 4: Simplify right side
    299,304.40x = 81,139,519,895.28
  5. Step 5: Solve for x
    x = 81,139,519,895.28/299,304.40
  6. Step 6: Final answer
    x = 271,093.64

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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.