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Finding the Fourth Proportional to 321,740, 482,543.12 and 121,991.52

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Solution

The fourth proportional to 321,740, 482,543.12 and 121,991.52 is: 182,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,740 : 482,543.12 = 121,991.52 : x
  2. Step 2: Convert to fraction form
    321,740/482,543.12 = 121,991.52/x
  3. Step 3: Cross multiply
    321,740x = 482,543.12 × 121,991.52
  4. Step 4: Simplify right side
    321,740x = 58,866,168,674.34
  5. Step 5: Solve for x
    x = 58,866,168,674.34/321,740
  6. Step 6: Final answer
    x = 182,961.92

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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.