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Finding the Fourth Proportional to 490,429.76, 676,771.47 and 286,499.57

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Solution

The fourth proportional to 490,429.76, 676,771.47 and 286,499.57 is: 395,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,429.76 : 676,771.47 = 286,499.57 : x
  2. Step 2: Convert to fraction form
    490,429.76/676,771.47 = 286,499.57/x
  3. Step 3: Cross multiply
    490,429.76x = 676,771.47 × 286,499.57
  4. Step 4: Simplify right side
    490,429.76x = 193,894,731,759.41
  5. Step 5: Solve for x
    x = 193,894,731,759.41/490,429.76
  6. Step 6: Final answer
    x = 395,356.79

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1.5x scale

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.