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Finding the Fourth Proportional to 385,633.65, 578,314.98 and 115,681.29

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Solution

The fourth proportional to 385,633.65, 578,314.98 and 115,681.29 is: 173,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,633.65 : 578,314.98 = 115,681.29 : x
  2. Step 2: Convert to fraction form
    385,633.65/578,314.98 = 115,681.29/x
  3. Step 3: Cross multiply
    385,633.65x = 578,314.98 × 115,681.29
  4. Step 4: Simplify right side
    385,633.65x = 66,900,222,912.72
  5. Step 5: Solve for x
    x = 66,900,222,912.72/385,633.65
  6. Step 6: Final answer
    x = 173,481.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.