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Finding the Fourth Proportional to 315,485.69, 435,245.74 and 194,416.10

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Solution

The fourth proportional to 315,485.69, 435,245.74 and 194,416.10 is: 268,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,485.69 : 435,245.74 = 194,416.10 : x
  2. Step 2: Convert to fraction form
    315,485.69/435,245.74 = 194,416.10/x
  3. Step 3: Cross multiply
    315,485.69x = 435,245.74 × 194,416.10
  4. Step 4: Simplify right side
    315,485.69x = 84,618,778,282.32
  5. Step 5: Solve for x
    x = 84,618,778,282.32/315,485.69
  6. Step 6: Final answer
    x = 268,217.49

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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.