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Finding the Fourth Proportional to 507,958.86, 701,005.38 and 303,970.98

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Solution

The fourth proportional to 507,958.86, 701,005.38 and 303,970.98 is: 419,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,958.86 : 701,005.38 = 303,970.98 : x
  2. Step 2: Convert to fraction form
    507,958.86/701,005.38 = 303,970.98/x
  3. Step 3: Cross multiply
    507,958.86x = 701,005.38 × 303,970.98
  4. Step 4: Simplify right side
    507,958.86x = 213,085,292,343.87
  5. Step 5: Solve for x
    x = 213,085,292,343.87/507,958.86
  6. Step 6: Final answer
    x = 419,493.21

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Why These Related Problems?

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