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Finding the Fourth Proportional to 361,878.12, 499,414.68 and 208,944.55

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Solution

The fourth proportional to 361,878.12, 499,414.68 and 208,944.55 is: 288,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,878.12 : 499,414.68 = 208,944.55 : x
  2. Step 2: Convert to fraction form
    361,878.12/499,414.68 = 208,944.55/x
  3. Step 3: Cross multiply
    361,878.12x = 499,414.68 × 208,944.55
  4. Step 4: Simplify right side
    361,878.12x = 104,349,975,575.99
  5. Step 5: Solve for x
    x = 104,349,975,575.99/361,878.12
  6. Step 6: Final answer
    x = 288,356.69

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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.