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Finding the Fourth Proportional to 419,906.40, 630,515.70 and 242,759.40

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Solution

The fourth proportional to 419,906.40, 630,515.70 and 242,759.40 is: 364,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906.40 : 630,515.70 = 242,759.40 : x
  2. Step 2: Convert to fraction form
    419,906.40/630,515.70 = 242,759.40/x
  3. Step 3: Cross multiply
    419,906.40x = 630,515.70 × 242,759.40
  4. Step 4: Simplify right side
    419,906.40x = 153,063,613,022.58
  5. Step 5: Solve for x
    x = 153,063,613,022.58/419,906.40
  6. Step 6: Final answer
    x = 364,518.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.