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Finding the Fourth Proportional to 299,095.12, 412,815.14 and 171,840.88

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Solution

The fourth proportional to 299,095.12, 412,815.14 and 171,840.88 is: 237,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,095.12 : 412,815.14 = 171,840.88 : x
  2. Step 2: Convert to fraction form
    299,095.12/412,815.14 = 171,840.88/x
  3. Step 3: Cross multiply
    299,095.12x = 412,815.14 × 171,840.88
  4. Step 4: Simplify right side
    299,095.12x = 70,938,515,688.08
  5. Step 5: Solve for x
    x = 70,938,515,688.08/299,095.12
  6. Step 6: Final answer
    x = 237,177.11

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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.