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Finding the Fourth Proportional to 509,486.40, 762,415.20 and 443,649.60

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Solution

The fourth proportional to 509,486.40, 762,415.20 and 443,649.60 is: 663,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,486.40 : 762,415.20 = 443,649.60 : x
  2. Step 2: Convert to fraction form
    509,486.40/762,415.20 = 443,649.60/x
  3. Step 3: Cross multiply
    509,486.40x = 762,415.20 × 443,649.60
  4. Step 4: Simplify right side
    509,486.40x = 338,245,198,513.92
  5. Step 5: Solve for x
    x = 338,245,198,513.92/509,486.40
  6. Step 6: Final answer
    x = 663,894.46

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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.