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Finding the Fourth Proportional to 345,718, 518,664.48 and 96,400

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Solution

The fourth proportional to 345,718, 518,664.48 and 96,400 is: 144,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,718 : 518,664.48 = 96,400 : x
  2. Step 2: Convert to fraction form
    345,718/518,664.48 = 96,400/x
  3. Step 3: Cross multiply
    345,718x = 518,664.48 × 96,400
  4. Step 4: Simplify right side
    345,718x = 49,999,255,872
  5. Step 5: Solve for x
    x = 49,999,255,872/345,718
  6. Step 6: Final answer
    x = 144,624.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.