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Finding the Fourth Proportional to 509,487.40, 762,416.70 and 443,650.60

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Solution

The fourth proportional to 509,487.40, 762,416.70 and 443,650.60 is: 663,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,487.40 : 762,416.70 = 443,650.60 : x
  2. Step 2: Convert to fraction form
    509,487.40/762,416.70 = 443,650.60/x
  3. Step 3: Cross multiply
    509,487.40x = 762,416.70 × 443,650.60
  4. Step 4: Simplify right side
    509,487.40x = 338,246,626,405.02
  5. Step 5: Solve for x
    x = 338,246,626,405.02/509,487.40
  6. Step 6: Final answer
    x = 663,895.96

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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.