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Finding the Fourth Proportional to 320,104.68, 480,656.40 and 305,907.42

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Solution

The fourth proportional to 320,104.68, 480,656.40 and 305,907.42 is: 459,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,104.68 : 480,656.40 = 305,907.42 : x
  2. Step 2: Convert to fraction form
    320,104.68/480,656.40 = 305,907.42/x
  3. Step 3: Cross multiply
    320,104.68x = 480,656.40 × 305,907.42
  4. Step 4: Simplify right side
    320,104.68x = 147,036,359,230.49
  5. Step 5: Solve for x
    x = 147,036,359,230.49/320,104.68
  6. Step 6: Final answer
    x = 459,338.36

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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.