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Finding the Fourth Proportional to 343,975.61, 515,753.83 and 154,399.16

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Solution

The fourth proportional to 343,975.61, 515,753.83 and 154,399.16 is: 231,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,975.61 : 515,753.83 = 154,399.16 : x
  2. Step 2: Convert to fraction form
    343,975.61/515,753.83 = 154,399.16/x
  3. Step 3: Cross multiply
    343,975.61x = 515,753.83 × 154,399.16
  4. Step 4: Simplify right side
    343,975.61x = 79,631,959,601.17
  5. Step 5: Solve for x
    x = 79,631,959,601.17/343,975.61
  6. Step 6: Final answer
    x = 231,504.67

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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.