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Finding the Fourth Proportional to 509,208.40, 764,628.60 and 404,894.80

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Solution

The fourth proportional to 509,208.40, 764,628.60 and 404,894.80 is: 607,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,208.40 : 764,628.60 = 404,894.80 : x
  2. Step 2: Convert to fraction form
    509,208.40/764,628.60 = 404,894.80/x
  3. Step 3: Cross multiply
    509,208.40x = 764,628.60 × 404,894.80
  4. Step 4: Simplify right side
    509,208.40x = 309,594,144,071.28
  5. Step 5: Solve for x
    x = 309,594,144,071.28/509,208.40
  6. Step 6: Final answer
    x = 607,991.04

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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.