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Finding the Fourth Proportional to 289,920.36, 434,460.83 and 199,870.64

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Solution

The fourth proportional to 289,920.36, 434,460.83 and 199,870.64 is: 299,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,920.36 : 434,460.83 = 199,870.64 : x
  2. Step 2: Convert to fraction form
    289,920.36/434,460.83 = 199,870.64/x
  3. Step 3: Cross multiply
    289,920.36x = 434,460.83 × 199,870.64
  4. Step 4: Simplify right side
    289,920.36x = 86,835,960,975.37
  5. Step 5: Solve for x
    x = 86,835,960,975.37/289,920.36
  6. Step 6: Final answer
    x = 299,516.60

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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.