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Finding the Fourth Proportional to 488,429.85, 674,054.10 and 284,447.85

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Solution

The fourth proportional to 488,429.85, 674,054.10 and 284,447.85 is: 392,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,429.85 : 674,054.10 = 284,447.85 : x
  2. Step 2: Convert to fraction form
    488,429.85/674,054.10 = 284,447.85/x
  3. Step 3: Cross multiply
    488,429.85x = 674,054.10 × 284,447.85
  4. Step 4: Simplify right side
    488,429.85x = 191,733,239,528.69
  5. Step 5: Solve for x
    x = 191,733,239,528.69/488,429.85
  6. Step 6: Final answer
    x = 392,550.21

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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.