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Finding the Fourth Proportional to 509,222.40, 764,649.60 and 404,908.80

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Solution

The fourth proportional to 509,222.40, 764,649.60 and 404,908.80 is: 608,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,222.40 : 764,649.60 = 404,908.80 : x
  2. Step 2: Convert to fraction form
    509,222.40/764,649.60 = 404,908.80/x
  3. Step 3: Cross multiply
    509,222.40x = 764,649.60 × 404,908.80
  4. Step 4: Simplify right side
    509,222.40x = 309,613,351,956.48
  5. Step 5: Solve for x
    x = 309,613,351,956.48/509,222.40
  6. Step 6: Final answer
    x = 608,012.04

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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.