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Finding the Fourth Proportional to 509,355.32, 702,929.31 and 305,439.44

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Solution

The fourth proportional to 509,355.32, 702,929.31 and 305,439.44 is: 421,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,355.32 : 702,929.31 = 305,439.44 : x
  2. Step 2: Convert to fraction form
    509,355.32/702,929.31 = 305,439.44/x
  3. Step 3: Cross multiply
    509,355.32x = 702,929.31 × 305,439.44
  4. Step 4: Simplify right side
    509,355.32x = 214,702,334,805.99
  5. Step 5: Solve for x
    x = 214,702,334,805.99/509,355.32
  6. Step 6: Final answer
    x = 421,517.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.