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Finding the Fourth Proportional to 298,221.83, 411,557.51 and 170,922.05

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Solution

The fourth proportional to 298,221.83, 411,557.51 and 170,922.05 is: 235,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,221.83 : 411,557.51 = 170,922.05 : x
  2. Step 2: Convert to fraction form
    298,221.83/411,557.51 = 170,922.05/x
  3. Step 3: Cross multiply
    298,221.83x = 411,557.51 × 170,922.05
  4. Step 4: Simplify right side
    298,221.83x = 70,344,252,447.49
  5. Step 5: Solve for x
    x = 70,344,252,447.49/298,221.83
  6. Step 6: Final answer
    x = 235,878.95

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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.