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Finding the Fourth Proportional to 345,784, 518,880.18 and 146,091.52

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Solution

The fourth proportional to 345,784, 518,880.18 and 146,091.52 is: 219,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,784 : 518,880.18 = 146,091.52 : x
  2. Step 2: Convert to fraction form
    345,784/518,880.18 = 146,091.52/x
  3. Step 3: Cross multiply
    345,784x = 518,880.18 × 146,091.52
  4. Step 4: Simplify right side
    345,784x = 75,803,994,194.07
  5. Step 5: Solve for x
    x = 75,803,994,194.07/345,784
  6. Step 6: Final answer
    x = 219,223.54

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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.