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Finding the Fourth Proportional to 307,638.40, 461,457.60 and 228,906.40

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Solution

The fourth proportional to 307,638.40, 461,457.60 and 228,906.40 is: 343,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,638.40 : 461,457.60 = 228,906.40 : x
  2. Step 2: Convert to fraction form
    307,638.40/461,457.60 = 228,906.40/x
  3. Step 3: Cross multiply
    307,638.40x = 461,457.60 × 228,906.40
  4. Step 4: Simplify right side
    307,638.40x = 105,630,597,968.64
  5. Step 5: Solve for x
    x = 105,630,597,968.64/307,638.40
  6. Step 6: Final answer
    x = 343,359.60

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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.