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Finding the Fourth Proportional to 299,090.40, 448,538.40 and 99,376.80

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Solution

The fourth proportional to 299,090.40, 448,538.40 and 99,376.80 is: 149,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,090.40 : 448,538.40 = 99,376.80 : x
  2. Step 2: Convert to fraction form
    299,090.40/448,538.40 = 99,376.80/x
  3. Step 3: Cross multiply
    299,090.40x = 448,538.40 × 99,376.80
  4. Step 4: Simplify right side
    299,090.40x = 44,574,310,869.12
  5. Step 5: Solve for x
    x = 44,574,310,869.12/299,090.40
  6. Step 6: Final answer
    x = 149,032.90

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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.