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Finding the Fourth Proportional to 548,812.59, 823,214.26 and 428,970.34

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Solution

The fourth proportional to 548,812.59, 823,214.26 and 428,970.34 is: 643,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,812.59 : 823,214.26 = 428,970.34 : x
  2. Step 2: Convert to fraction form
    548,812.59/823,214.26 = 428,970.34/x
  3. Step 3: Cross multiply
    548,812.59x = 823,214.26 × 428,970.34
  4. Step 4: Simplify right side
    548,812.59x = 353,134,501,005.05
  5. Step 5: Solve for x
    x = 353,134,501,005.05/548,812.59
  6. Step 6: Final answer
    x = 643,451.89

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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.