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Finding the Fourth Proportional to 510,896.16, 764,973.76 and 285,615

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Solution

The fourth proportional to 510,896.16, 764,973.76 and 285,615 is: 427,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,896.16 : 764,973.76 = 285,615 : x
  2. Step 2: Convert to fraction form
    510,896.16/764,973.76 = 285,615/x
  3. Step 3: Cross multiply
    510,896.16x = 764,973.76 × 285,615
  4. Step 4: Simplify right side
    510,896.16x = 218,487,980,462.40
  5. Step 5: Solve for x
    x = 218,487,980,462.40/510,896.16
  6. Step 6: Final answer
    x = 427,656.34

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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.