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Finding the Fourth Proportional to 419,858.37, 579,048 and 354,766.11

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Solution

The fourth proportional to 419,858.37, 579,048 and 354,766.11 is: 489,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,858.37 : 579,048 = 354,766.11 : x
  2. Step 2: Convert to fraction form
    419,858.37/579,048 = 354,766.11/x
  3. Step 3: Cross multiply
    419,858.37x = 579,048 × 354,766.11
  4. Step 4: Simplify right side
    419,858.37x = 205,426,606,463.28
  5. Step 5: Solve for x
    x = 205,426,606,463.28/419,858.37
  6. Step 6: Final answer
    x = 489,275.96

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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.