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Finding the Fourth Proportional to 578,146.06, 797,863.94 and 323,491.78

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Solution

The fourth proportional to 578,146.06, 797,863.94 and 323,491.78 is: 446,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,146.06 : 797,863.94 = 323,491.78 : x
  2. Step 2: Convert to fraction form
    578,146.06/797,863.94 = 323,491.78/x
  3. Step 3: Cross multiply
    578,146.06x = 797,863.94 × 323,491.78
  4. Step 4: Simplify right side
    578,146.06x = 258,102,426,148.41
  5. Step 5: Solve for x
    x = 258,102,426,148.41/578,146.06
  6. Step 6: Final answer
    x = 446,431.18

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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.