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Finding the Fourth Proportional to 488,836.76, 674,529.14 and 282,113

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Solution

The fourth proportional to 488,836.76, 674,529.14 and 282,113 is: 389,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,836.76 : 674,529.14 = 282,113 : x
  2. Step 2: Convert to fraction form
    488,836.76/674,529.14 = 282,113/x
  3. Step 3: Cross multiply
    488,836.76x = 674,529.14 × 282,113
  4. Step 4: Simplify right side
    488,836.76x = 190,293,439,272.82
  5. Step 5: Solve for x
    x = 190,293,439,272.82/488,836.76
  6. Step 6: Final answer
    x = 389,278.09

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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.