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Finding the Fourth Proportional to 513,125.70, 769,362.54 and 450,072.42

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Solution

The fourth proportional to 513,125.70, 769,362.54 and 450,072.42 is: 674,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,125.70 : 769,362.54 = 450,072.42 : x
  2. Step 2: Convert to fraction form
    513,125.70/769,362.54 = 450,072.42/x
  3. Step 3: Cross multiply
    513,125.70x = 769,362.54 × 450,072.42
  4. Step 4: Simplify right side
    513,125.70x = 346,268,860,235.15
  5. Step 5: Solve for x
    x = 346,268,860,235.15/513,125.70
  6. Step 6: Final answer
    x = 674,822.68

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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.