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Finding the Fourth Proportional to 321,810.45, 482,759.51 and 186,937.81

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Solution

The fourth proportional to 321,810.45, 482,759.51 and 186,937.81 is: 280,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,810.45 : 482,759.51 = 186,937.81 : x
  2. Step 2: Convert to fraction form
    321,810.45/482,759.51 = 186,937.81/x
  3. Step 3: Cross multiply
    321,810.45x = 482,759.51 × 186,937.81
  4. Step 4: Simplify right side
    321,810.45x = 90,246,002,674.93
  5. Step 5: Solve for x
    x = 90,246,002,674.93/321,810.45
  6. Step 6: Final answer
    x = 280,432.17

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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.