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Finding the Fourth Proportional to 312,196.37, 468,294.57 and 75,539.05

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Solution

The fourth proportional to 312,196.37, 468,294.57 and 75,539.05 is: 113,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,196.37 : 468,294.57 = 75,539.05 : x
  2. Step 2: Convert to fraction form
    312,196.37/468,294.57 = 75,539.05/x
  3. Step 3: Cross multiply
    312,196.37x = 468,294.57 × 75,539.05
  4. Step 4: Simplify right side
    312,196.37x = 35,374,525,767.22
  5. Step 5: Solve for x
    x = 35,374,525,767.22/312,196.37
  6. Step 6: Final answer
    x = 113,308.58

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1.5x scale

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.