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Finding the Fourth Proportional to 301,590.75, 451,696.89 and 143,929.92

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Solution

The fourth proportional to 301,590.75, 451,696.89 and 143,929.92 is: 215,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,590.75 : 451,696.89 = 143,929.92 : x
  2. Step 2: Convert to fraction form
    301,590.75/451,696.89 = 143,929.92/x
  3. Step 3: Cross multiply
    301,590.75x = 451,696.89 × 143,929.92
  4. Step 4: Simplify right side
    301,590.75x = 65,012,694,983.46
  5. Step 5: Solve for x
    x = 65,012,694,983.46/301,590.75
  6. Step 6: Final answer
    x = 215,565.95

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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.