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Finding the Fourth Proportional to 315,146.63, 434,905.13 and 171,907.31

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Solution

The fourth proportional to 315,146.63, 434,905.13 and 171,907.31 is: 237,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,146.63 : 434,905.13 = 171,907.31 : x
  2. Step 2: Convert to fraction form
    315,146.63/434,905.13 = 171,907.31/x
  3. Step 3: Cross multiply
    315,146.63x = 434,905.13 × 171,907.31
  4. Step 4: Simplify right side
    315,146.63x = 74,763,371,003.50
  5. Step 5: Solve for x
    x = 74,763,371,003.50/315,146.63
  6. Step 6: Final answer
    x = 237,233.60

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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.