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Finding the Fourth Proportional to 228,847.60, 343,271.40 and 194,287.60

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Solution

The fourth proportional to 228,847.60, 343,271.40 and 194,287.60 is: 291,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,847.60 : 343,271.40 = 194,287.60 : x
  2. Step 2: Convert to fraction form
    228,847.60/343,271.40 = 194,287.60/x
  3. Step 3: Cross multiply
    228,847.60x = 343,271.40 × 194,287.60
  4. Step 4: Simplify right side
    228,847.60x = 66,693,376,454.64
  5. Step 5: Solve for x
    x = 66,693,376,454.64/228,847.60
  6. Step 6: Final answer
    x = 291,431.40

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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.