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Finding the Fourth Proportional to 411,959.10, 617,938.65 and 146,019.90

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Solution

The fourth proportional to 411,959.10, 617,938.65 and 146,019.90 is: 219,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,959.10 : 617,938.65 = 146,019.90 : x
  2. Step 2: Convert to fraction form
    411,959.10/617,938.65 = 146,019.90/x
  3. Step 3: Cross multiply
    411,959.10x = 617,938.65 × 146,019.90
  4. Step 4: Simplify right side
    411,959.10x = 90,231,339,879.14
  5. Step 5: Solve for x
    x = 90,231,339,879.14/411,959.10
  6. Step 6: Final answer
    x = 219,029.85

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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.