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Finding the Fourth Proportional to 345,812.16, 518,593.47 and 146,148

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Solution

The fourth proportional to 345,812.16, 518,593.47 and 146,148 is: 219,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,812.16 : 518,593.47 = 146,148 : x
  2. Step 2: Convert to fraction form
    345,812.16/518,593.47 = 146,148/x
  3. Step 3: Cross multiply
    345,812.16x = 518,593.47 × 146,148
  4. Step 4: Simplify right side
    345,812.16x = 75,791,398,453.56
  5. Step 5: Solve for x
    x = 75,791,398,453.56/345,812.16
  6. Step 6: Final answer
    x = 219,169.27

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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.