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Finding the Fourth Proportional to 411,951.89, 617,929.89 and 145,712.65

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Solution

The fourth proportional to 411,951.89, 617,929.89 and 145,712.65 is: 218,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,951.89 : 617,929.89 = 145,712.65 : x
  2. Step 2: Convert to fraction form
    411,951.89/617,929.89 = 145,712.65/x
  3. Step 3: Cross multiply
    411,951.89x = 617,929.89 × 145,712.65
  4. Step 4: Simplify right side
    411,951.89x = 90,040,201,786.11
  5. Step 5: Solve for x
    x = 90,040,201,786.11/411,951.89
  6. Step 6: Final answer
    x = 218,569.70

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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.