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Finding the Fourth Proportional to 323,345.52, 485,072.64 and 145,848.24

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Solution

The fourth proportional to 323,345.52, 485,072.64 and 145,848.24 is: 218,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,345.52 : 485,072.64 = 145,848.24 : x
  2. Step 2: Convert to fraction form
    323,345.52/485,072.64 = 145,848.24/x
  3. Step 3: Cross multiply
    323,345.52x = 485,072.64 × 145,848.24
  4. Step 4: Simplify right side
    323,345.52x = 70,746,990,816.15
  5. Step 5: Solve for x
    x = 70,746,990,816.15/323,345.52
  6. Step 6: Final answer
    x = 218,796.88

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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.