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Finding the Fourth Proportional to 569,615.95, 853,676.50 and 419,151.70

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Solution

The fourth proportional to 569,615.95, 853,676.50 and 419,151.70 is: 628,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,615.95 : 853,676.50 = 419,151.70 : x
  2. Step 2: Convert to fraction form
    569,615.95/853,676.50 = 419,151.70/x
  3. Step 3: Cross multiply
    569,615.95x = 853,676.50 × 419,151.70
  4. Step 4: Simplify right side
    569,615.95x = 357,819,956,225.05
  5. Step 5: Solve for x
    x = 357,819,956,225.05/569,615.95
  6. Step 6: Final answer
    x = 628,177.56

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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.