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Finding the Fourth Proportional to 419,511.66, 578,882.93 and 235,721.04

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Solution

The fourth proportional to 419,511.66, 578,882.93 and 235,721.04 is: 325,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,511.66 : 578,882.93 = 235,721.04 : x
  2. Step 2: Convert to fraction form
    419,511.66/578,882.93 = 235,721.04/x
  3. Step 3: Cross multiply
    419,511.66x = 578,882.93 × 235,721.04
  4. Step 4: Simplify right side
    419,511.66x = 136,454,886,297.85
  5. Step 5: Solve for x
    x = 136,454,886,297.85/419,511.66
  6. Step 6: Final answer
    x = 325,270.78

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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.