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Finding the Fourth Proportional to 305,902.78, 458,919.83 and 128,307.44

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Solution

The fourth proportional to 305,902.78, 458,919.83 and 128,307.44 is: 192,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,902.78 : 458,919.83 = 128,307.44 : x
  2. Step 2: Convert to fraction form
    305,902.78/458,919.83 = 128,307.44/x
  3. Step 3: Cross multiply
    305,902.78x = 458,919.83 × 128,307.44
  4. Step 4: Simplify right side
    305,902.78x = 58,882,828,552.54
  5. Step 5: Solve for x
    x = 58,882,828,552.54/305,902.78
  6. Step 6: Final answer
    x = 192,488.70

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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.