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Finding the Fourth Proportional to 488,835.76, 674,527.76 and 282,112

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Solution

The fourth proportional to 488,835.76, 674,527.76 and 282,112 is: 389,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,835.76 : 674,527.76 = 282,112 : x
  2. Step 2: Convert to fraction form
    488,835.76/674,527.76 = 282,112/x
  3. Step 3: Cross multiply
    488,835.76x = 674,527.76 × 282,112
  4. Step 4: Simplify right side
    488,835.76x = 190,292,375,429.12
  5. Step 5: Solve for x
    x = 190,292,375,429.12/488,835.76
  6. Step 6: Final answer
    x = 389,276.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.