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Finding the Fourth Proportional to 471,384.68, 706,795 and 319,768.08

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Solution

The fourth proportional to 471,384.68, 706,795 and 319,768.08 is: 479,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,384.68 : 706,795 = 319,768.08 : x
  2. Step 2: Convert to fraction form
    471,384.68/706,795 = 319,768.08/x
  3. Step 3: Cross multiply
    471,384.68x = 706,795 × 319,768.08
  4. Step 4: Simplify right side
    471,384.68x = 226,010,480,103.60
  5. Step 5: Solve for x
    x = 226,010,480,103.60/471,384.68
  6. Step 6: Final answer
    x = 479,460.81

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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.