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Finding the Fourth Proportional to 315,106.40, 434,846.58 and 171,866.00

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Solution

The fourth proportional to 315,106.40, 434,846.58 and 171,866.00 is: 237,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,106.40 : 434,846.58 = 171,866.00 : x
  2. Step 2: Convert to fraction form
    315,106.40/434,846.58 = 171,866.00/x
  3. Step 3: Cross multiply
    315,106.40x = 434,846.58 × 171,866.00
  4. Step 4: Simplify right side
    315,106.40x = 74,735,342,760.90
  5. Step 5: Solve for x
    x = 74,735,342,760.90/315,106.40
  6. Step 6: Final answer
    x = 237,174.94

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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.