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Finding the Fourth Proportional to 415,540.60, 624,002.10 and 228,686.20

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Solution

The fourth proportional to 415,540.60, 624,002.10 and 228,686.20 is: 343,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,540.60 : 624,002.10 = 228,686.20 : x
  2. Step 2: Convert to fraction form
    415,540.60/624,002.10 = 228,686.20/x
  3. Step 3: Cross multiply
    415,540.60x = 624,002.10 × 228,686.20
  4. Step 4: Simplify right side
    415,540.60x = 142,700,669,041.02
  5. Step 5: Solve for x
    x = 142,700,669,041.02/415,540.60
  6. Step 6: Final answer
    x = 343,409.69

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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.