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Finding the Fourth Proportional to 490,221.34, 676,400.50 and 286,179.66

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Solution

The fourth proportional to 490,221.34, 676,400.50 and 286,179.66 is: 394,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,221.34 : 676,400.50 = 286,179.66 : x
  2. Step 2: Convert to fraction form
    490,221.34/676,400.50 = 286,179.66/x
  3. Step 3: Cross multiply
    490,221.34x = 676,400.50 × 286,179.66
  4. Step 4: Simplify right side
    490,221.34x = 193,572,065,113.83
  5. Step 5: Solve for x
    x = 193,572,065,113.83/490,221.34
  6. Step 6: Final answer
    x = 394,866.66

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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.