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Finding the Fourth Proportional to 343,955.60, 515,933.44 and 144,222.56

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Solution

The fourth proportional to 343,955.60, 515,933.44 and 144,222.56 is: 216,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,955.60 : 515,933.44 = 144,222.56 : x
  2. Step 2: Convert to fraction form
    343,955.60/515,933.44 = 144,222.56/x
  3. Step 3: Cross multiply
    343,955.60x = 515,933.44 × 144,222.56
  4. Step 4: Simplify right side
    343,955.60x = 74,409,241,506.41
  5. Step 5: Solve for x
    x = 74,409,241,506.41/343,955.60
  6. Step 6: Final answer
    x = 216,333.86

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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.