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Finding the Fourth Proportional to 299,114.40, 448,671.60 and 287,304.60

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Solution

The fourth proportional to 299,114.40, 448,671.60 and 287,304.60 is: 430,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,114.40 : 448,671.60 = 287,304.60 : x
  2. Step 2: Convert to fraction form
    299,114.40/448,671.60 = 287,304.60/x
  3. Step 3: Cross multiply
    299,114.40x = 448,671.60 × 287,304.60
  4. Step 4: Simplify right side
    299,114.40x = 128,905,414,569.36
  5. Step 5: Solve for x
    x = 128,905,414,569.36/299,114.40
  6. Step 6: Final answer
    x = 430,956.90

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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.