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Finding the Fourth Proportional to 509,232.72, 763,844.16 and 309,608.22

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Solution

The fourth proportional to 509,232.72, 763,844.16 and 309,608.22 is: 464,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,232.72 : 763,844.16 = 309,608.22 : x
  2. Step 2: Convert to fraction form
    509,232.72/763,844.16 = 309,608.22/x
  3. Step 3: Cross multiply
    509,232.72x = 763,844.16 × 309,608.22
  4. Step 4: Simplify right side
    509,232.72x = 236,492,430,735.00
  5. Step 5: Solve for x
    x = 236,492,430,735.00/509,232.72
  6. Step 6: Final answer
    x = 464,409.34

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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.