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Finding the Fourth Proportional to 429,172.32, 643,758.46 and 228,885.92

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Solution

The fourth proportional to 429,172.32, 643,758.46 and 228,885.92 is: 343,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,172.32 : 643,758.46 = 228,885.92 : x
  2. Step 2: Convert to fraction form
    429,172.32/643,758.46 = 228,885.92/x
  3. Step 3: Cross multiply
    429,172.32x = 643,758.46 × 228,885.92
  4. Step 4: Simplify right side
    429,172.32x = 147,347,247,374.88
  5. Step 5: Solve for x
    x = 147,347,247,374.88/429,172.32
  6. Step 6: Final answer
    x = 343,328.87

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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.