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Finding the Fourth Proportional to 340,541.64, 510,879.42 and 140,754.60

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Solution

The fourth proportional to 340,541.64, 510,879.42 and 140,754.60 is: 211,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,541.64 : 510,879.42 = 140,754.60 : x
  2. Step 2: Convert to fraction form
    340,541.64/510,879.42 = 140,754.60/x
  3. Step 3: Cross multiply
    340,541.64x = 510,879.42 × 140,754.60
  4. Step 4: Simplify right side
    340,541.64x = 71,908,628,410.33
  5. Step 5: Solve for x
    x = 71,908,628,410.33/340,541.64
  6. Step 6: Final answer
    x = 211,159.58

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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.