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Finding the Fourth Proportional to 321,812.32, 482,762.32 and 186,939.68

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Solution

The fourth proportional to 321,812.32, 482,762.32 and 186,939.68 is: 280,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,812.32 : 482,762.32 = 186,939.68 : x
  2. Step 2: Convert to fraction form
    321,812.32/482,762.32 = 186,939.68/x
  3. Step 3: Cross multiply
    321,812.32x = 482,762.32 × 186,939.68
  4. Step 4: Simplify right side
    321,812.32x = 90,247,433,616.86
  5. Step 5: Solve for x
    x = 90,247,433,616.86/321,812.32
  6. Step 6: Final answer
    x = 280,434.99

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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.