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Finding the Fourth Proportional to 262,857.40, 393,702.90 and 105,004.60

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Solution

The fourth proportional to 262,857.40, 393,702.90 and 105,004.60 is: 157,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,857.40 : 393,702.90 = 105,004.60 : x
  2. Step 2: Convert to fraction form
    262,857.40/393,702.90 = 105,004.60/x
  3. Step 3: Cross multiply
    262,857.40x = 393,702.90 × 105,004.60
  4. Step 4: Simplify right side
    262,857.40x = 41,340,615,533.34
  5. Step 5: Solve for x
    x = 41,340,615,533.34/262,857.40
  6. Step 6: Final answer
    x = 157,273.93

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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.