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Finding the Fourth Proportional to 499,182, 688,630.32 and 327,025.14

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Solution

The fourth proportional to 499,182, 688,630.32 and 327,025.14 is: 451,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,182 : 688,630.32 = 327,025.14 : x
  2. Step 2: Convert to fraction form
    499,182/688,630.32 = 327,025.14/x
  3. Step 3: Cross multiply
    499,182x = 688,630.32 × 327,025.14
  4. Step 4: Simplify right side
    499,182x = 225,199,426,806.25
  5. Step 5: Solve for x
    x = 225,199,426,806.25/499,182
  6. Step 6: Final answer
    x = 451,136.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.