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Finding the Fourth Proportional to 340,735.42, 511,340.29 and 141,056.85

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Solution

The fourth proportional to 340,735.42, 511,340.29 and 141,056.85 is: 211,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,735.42 : 511,340.29 = 141,056.85 : x
  2. Step 2: Convert to fraction form
    340,735.42/511,340.29 = 141,056.85/x
  3. Step 3: Cross multiply
    340,735.42x = 511,340.29 × 141,056.85
  4. Step 4: Simplify right side
    340,735.42x = 72,128,052,150.37
  5. Step 5: Solve for x
    x = 72,128,052,150.37/340,735.42
  6. Step 6: Final answer
    x = 211,683.46

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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.