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Finding the Fourth Proportional to 299,248, 412,970.88 and 165,120.64

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Solution

The fourth proportional to 299,248, 412,970.88 and 165,120.64 is: 227,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,248 : 412,970.88 = 165,120.64 : x
  2. Step 2: Convert to fraction form
    299,248/412,970.88 = 165,120.64/x
  3. Step 3: Cross multiply
    299,248x = 412,970.88 × 165,120.64
  4. Step 4: Simplify right side
    299,248x = 68,190,016,006.96
  5. Step 5: Solve for x
    x = 68,190,016,006.96/299,248
  6. Step 6: Final answer
    x = 227,871.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.