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Finding the Fourth Proportional to 419,124.68, 578,297.56 and 351,415.16

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Solution

The fourth proportional to 419,124.68, 578,297.56 and 351,415.16 is: 484,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,124.68 : 578,297.56 = 351,415.16 : x
  2. Step 2: Convert to fraction form
    419,124.68/578,297.56 = 351,415.16/x
  3. Step 3: Cross multiply
    419,124.68x = 578,297.56 × 351,415.16
  4. Step 4: Simplify right side
    419,124.68x = 203,222,529,575.01
  5. Step 5: Solve for x
    x = 203,222,529,575.01/419,124.68
  6. Step 6: Final answer
    x = 484,873.69

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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.