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Finding the Fourth Proportional to 345,775.86, 518,719.14 and 146,098.18

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Solution

The fourth proportional to 345,775.86, 518,719.14 and 146,098.18 is: 219,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,775.86 : 518,719.14 = 146,098.18 : x
  2. Step 2: Convert to fraction form
    345,775.86/518,719.14 = 146,098.18/x
  3. Step 3: Cross multiply
    345,775.86x = 518,719.14 × 146,098.18
  4. Step 4: Simplify right side
    345,775.86x = 75,783,922,285.17
  5. Step 5: Solve for x
    x = 75,783,922,285.17/345,775.86
  6. Step 6: Final answer
    x = 219,170.66

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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.