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Finding the Fourth Proportional to 452,630.56, 677,912.40 and 216,139.84

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Solution

The fourth proportional to 452,630.56, 677,912.40 and 216,139.84 is: 323,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,630.56 : 677,912.40 = 216,139.84 : x
  2. Step 2: Convert to fraction form
    452,630.56/677,912.40 = 216,139.84/x
  3. Step 3: Cross multiply
    452,630.56x = 677,912.40 × 216,139.84
  4. Step 4: Simplify right side
    452,630.56x = 146,523,877,670.02
  5. Step 5: Solve for x
    x = 146,523,877,670.02/452,630.56
  6. Step 6: Final answer
    x = 323,716.27

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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.