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Finding the Fourth Proportional to 288,685.82, 433,028.94 and 78,323.74

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Solution

The fourth proportional to 288,685.82, 433,028.94 and 78,323.74 is: 117,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,685.82 : 433,028.94 = 78,323.74 : x
  2. Step 2: Convert to fraction form
    288,685.82/433,028.94 = 78,323.74/x
  3. Step 3: Cross multiply
    288,685.82x = 433,028.94 × 78,323.74
  4. Step 4: Simplify right side
    288,685.82x = 33,916,446,109.04
  5. Step 5: Solve for x
    x = 33,916,446,109.04/288,685.82
  6. Step 6: Final answer
    x = 117,485.67

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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.