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Finding the Fourth Proportional to 311,975.86, 468,012.75 and 134,533.30

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Solution

The fourth proportional to 311,975.86, 468,012.75 and 134,533.30 is: 201,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,975.86 : 468,012.75 = 134,533.30 : x
  2. Step 2: Convert to fraction form
    311,975.86/468,012.75 = 134,533.30/x
  3. Step 3: Cross multiply
    311,975.86x = 468,012.75 × 134,533.30
  4. Step 4: Simplify right side
    311,975.86x = 62,963,299,699.58
  5. Step 5: Solve for x
    x = 62,963,299,699.58/311,975.86
  6. Step 6: Final answer
    x = 201,821.06

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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.