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Finding the Fourth Proportional to 539,154.20, 808,212.90 and 419,144.60

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Solution

The fourth proportional to 539,154.20, 808,212.90 and 419,144.60 is: 628,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,154.20 : 808,212.90 = 419,144.60 : x
  2. Step 2: Convert to fraction form
    539,154.20/808,212.90 = 419,144.60/x
  3. Step 3: Cross multiply
    539,154.20x = 808,212.90 × 419,144.60
  4. Step 4: Simplify right side
    539,154.20x = 338,758,072,685.34
  5. Step 5: Solve for x
    x = 338,758,072,685.34/539,154.20
  6. Step 6: Final answer
    x = 628,313.89

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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.