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Finding the Fourth Proportional to 288,930.68, 433,415.03 and 75,703.81

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Solution

The fourth proportional to 288,930.68, 433,415.03 and 75,703.81 is: 113,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,930.68 : 433,415.03 = 75,703.81 : x
  2. Step 2: Convert to fraction form
    288,930.68/433,415.03 = 75,703.81/x
  3. Step 3: Cross multiply
    288,930.68x = 433,415.03 × 75,703.81
  4. Step 4: Simplify right side
    288,930.68x = 32,811,168,187.99
  5. Step 5: Solve for x
    x = 32,811,168,187.99/288,930.68
  6. Step 6: Final answer
    x = 113,560.69

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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.