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Finding the Fourth Proportional to 288,684.82, 433,027.44 and 78,322.74

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Solution

The fourth proportional to 288,684.82, 433,027.44 and 78,322.74 is: 117,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684.82 : 433,027.44 = 78,322.74 : x
  2. Step 2: Convert to fraction form
    288,684.82/433,027.44 = 78,322.74/x
  3. Step 3: Cross multiply
    288,684.82x = 433,027.44 × 78,322.74
  4. Step 4: Simplify right side
    288,684.82x = 33,915,895,595.99
  5. Step 5: Solve for x
    x = 33,915,895,595.99/288,684.82
  6. Step 6: Final answer
    x = 117,484.17

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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.