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Finding the Fourth Proportional to 288,975.20, 432,879.60 and 200,328.80

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Solution

The fourth proportional to 288,975.20, 432,879.60 and 200,328.80 is: 300,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,975.20 : 432,879.60 = 200,328.80 : x
  2. Step 2: Convert to fraction form
    288,975.20/432,879.60 = 200,328.80/x
  3. Step 3: Cross multiply
    288,975.20x = 432,879.60 × 200,328.80
  4. Step 4: Simplify right side
    288,975.20x = 86,718,250,812.48
  5. Step 5: Solve for x
    x = 86,718,250,812.48/288,975.20
  6. Step 6: Final answer
    x = 300,088.90

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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.