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Finding the Fourth Proportional to 510,866.40, 764,987.40 and 405,015.60

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Solution

The fourth proportional to 510,866.40, 764,987.40 and 405,015.60 is: 606,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,866.40 : 764,987.40 = 405,015.60 : x
  2. Step 2: Convert to fraction form
    510,866.40/764,987.40 = 405,015.60/x
  3. Step 3: Cross multiply
    510,866.40x = 764,987.40 × 405,015.60
  4. Step 4: Simplify right side
    510,866.40x = 309,831,830,803.44
  5. Step 5: Solve for x
    x = 309,831,830,803.44/510,866.40
  6. Step 6: Final answer
    x = 606,483.09

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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.