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Finding the Fourth Proportional to 513,343.05, 769,955.74 and 134,300.36

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Solution

The fourth proportional to 513,343.05, 769,955.74 and 134,300.36 is: 201,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,343.05 : 769,955.74 = 134,300.36 : x
  2. Step 2: Convert to fraction form
    513,343.05/769,955.74 = 134,300.36/x
  3. Step 3: Cross multiply
    513,343.05x = 769,955.74 × 134,300.36
  4. Step 4: Simplify right side
    513,343.05x = 103,405,328,544.79
  5. Step 5: Solve for x
    x = 103,405,328,544.79/513,343.05
  6. Step 6: Final answer
    x = 201,435.14

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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.