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Finding the Fourth Proportional to 411,953.39, 617,932.14 and 145,714.15

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Solution

The fourth proportional to 411,953.39, 617,932.14 and 145,714.15 is: 218,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,953.39 : 617,932.14 = 145,714.15 : x
  2. Step 2: Convert to fraction form
    411,953.39/617,932.14 = 145,714.15/x
  3. Step 3: Cross multiply
    411,953.39x = 617,932.14 × 145,714.15
  4. Step 4: Simplify right side
    411,953.39x = 90,041,456,537.78
  5. Step 5: Solve for x
    x = 90,041,456,537.78/411,953.39
  6. Step 6: Final answer
    x = 218,571.95

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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.