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Finding the Fourth Proportional to 419,463.56, 578,934.74 and 247,370.96

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Solution

The fourth proportional to 419,463.56, 578,934.74 and 247,370.96 is: 341,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,463.56 : 578,934.74 = 247,370.96 : x
  2. Step 2: Convert to fraction form
    419,463.56/578,934.74 = 247,370.96/x
  3. Step 3: Cross multiply
    419,463.56x = 578,934.74 × 247,370.96
  4. Step 4: Simplify right side
    419,463.56x = 143,211,644,476.92
  5. Step 5: Solve for x
    x = 143,211,644,476.92/419,463.56
  6. Step 6: Final answer
    x = 341,416.17

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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.