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Finding the Fourth Proportional to 321,570.40, 482,403.12 and 111,151.84

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Solution

The fourth proportional to 321,570.40, 482,403.12 and 111,151.84 is: 166,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,570.40 : 482,403.12 = 111,151.84 : x
  2. Step 2: Convert to fraction form
    321,570.40/482,403.12 = 111,151.84/x
  3. Step 3: Cross multiply
    321,570.40x = 482,403.12 × 111,151.84
  4. Step 4: Simplify right side
    321,570.40x = 53,619,994,409.74
  5. Step 5: Solve for x
    x = 53,619,994,409.74/321,570.40
  6. Step 6: Final answer
    x = 166,744.19

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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.