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Finding the Fourth Proportional to 362,136.42, 499,632.68 and 209,154.42

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Solution

The fourth proportional to 362,136.42, 499,632.68 and 209,154.42 is: 288,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,136.42 : 499,632.68 = 209,154.42 : x
  2. Step 2: Convert to fraction form
    362,136.42/499,632.68 = 209,154.42/x
  3. Step 3: Cross multiply
    362,136.42x = 499,632.68 × 209,154.42
  4. Step 4: Simplify right side
    362,136.42x = 104,500,383,921.33
  5. Step 5: Solve for x
    x = 104,500,383,921.33/362,136.42
  6. Step 6: Final answer
    x = 288,566.35

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