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Finding the Fourth Proportional to 649,886.06, 974,467.02 and 200,479.44

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Solution

The fourth proportional to 649,886.06, 974,467.02 and 200,479.44 is: 300,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,886.06 : 974,467.02 = 200,479.44 : x
  2. Step 2: Convert to fraction form
    649,886.06/974,467.02 = 200,479.44/x
  3. Step 3: Cross multiply
    649,886.06x = 974,467.02 × 200,479.44
  4. Step 4: Simplify right side
    649,886.06x = 195,360,602,468.07
  5. Step 5: Solve for x
    x = 195,360,602,468.07/649,886.06
  6. Step 6: Final answer
    x = 300,607.47

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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.