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Finding the Fourth Proportional to 312,365.04, 468,543.51 and 75,709.77

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Solution

The fourth proportional to 312,365.04, 468,543.51 and 75,709.77 is: 113,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,365.04 : 468,543.51 = 75,709.77 : x
  2. Step 2: Convert to fraction form
    312,365.04/468,543.51 = 75,709.77/x
  3. Step 3: Cross multiply
    312,365.04x = 468,543.51 × 75,709.77
  4. Step 4: Simplify right side
    312,365.04x = 35,473,321,377.09
  5. Step 5: Solve for x
    x = 35,473,321,377.09/312,365.04
  6. Step 6: Final answer
    x = 113,563.67

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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.