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Finding the Fourth Proportional to 345,980.49, 518,992.62 and 146,263.65

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Solution

The fourth proportional to 345,980.49, 518,992.62 and 146,263.65 is: 219,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,980.49 : 518,992.62 = 146,263.65 : x
  2. Step 2: Convert to fraction form
    345,980.49/518,992.62 = 146,263.65/x
  3. Step 3: Cross multiply
    345,980.49x = 518,992.62 × 146,263.65
  4. Step 4: Simplify right side
    345,980.49x = 75,909,754,924.26
  5. Step 5: Solve for x
    x = 75,909,754,924.26/345,980.49
  6. Step 6: Final answer
    x = 219,404.73

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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.