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Finding the Fourth Proportional to 471,015, 706,349.70 and 155,378.52

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Solution

The fourth proportional to 471,015, 706,349.70 and 155,378.52 is: 233,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,015 : 706,349.70 = 155,378.52 : x
  2. Step 2: Convert to fraction form
    471,015/706,349.70 = 155,378.52/x
  3. Step 3: Cross multiply
    471,015x = 706,349.70 × 155,378.52
  4. Step 4: Simplify right side
    471,015x = 109,751,570,988.44
  5. Step 5: Solve for x
    x = 109,751,570,988.44/471,015
  6. Step 6: Final answer
    x = 233,010.78

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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.