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Finding the Fourth Proportional to 345,483.84, 518,295.42 and 145,804.44

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Solution

The fourth proportional to 345,483.84, 518,295.42 and 145,804.44 is: 218,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,483.84 : 518,295.42 = 145,804.44 : x
  2. Step 2: Convert to fraction form
    345,483.84/518,295.42 = 145,804.44/x
  3. Step 3: Cross multiply
    345,483.84x = 518,295.42 × 145,804.44
  4. Step 4: Simplify right side
    345,483.84x = 75,569,773,467.66
  5. Step 5: Solve for x
    x = 75,569,773,467.66/345,483.84
  6. Step 6: Final answer
    x = 218,736.06

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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.