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Finding the Fourth Proportional to 382,883.68, 528,379.44 and 213,114.16

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Solution

The fourth proportional to 382,883.68, 528,379.44 and 213,114.16 is: 294,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,883.68 : 528,379.44 = 213,114.16 : x
  2. Step 2: Convert to fraction form
    382,883.68/528,379.44 = 213,114.16/x
  3. Step 3: Cross multiply
    382,883.68x = 528,379.44 × 213,114.16
  4. Step 4: Simplify right side
    382,883.68x = 112,605,140,516.87
  5. Step 5: Solve for x
    x = 112,605,140,516.87/382,883.68
  6. Step 6: Final answer
    x = 294,097.52

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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.