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Finding the Fourth Proportional to 382,668.96, 528,083.16 and 212,903.04

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Solution

The fourth proportional to 382,668.96, 528,083.16 and 212,903.04 is: 293,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,668.96 : 528,083.16 = 212,903.04 : x
  2. Step 2: Convert to fraction form
    382,668.96/528,083.16 = 212,903.04/x
  3. Step 3: Cross multiply
    382,668.96x = 528,083.16 × 212,903.04
  4. Step 4: Simplify right side
    382,668.96x = 112,430,510,136.81
  5. Step 5: Solve for x
    x = 112,430,510,136.81/382,668.96
  6. Step 6: Final answer
    x = 293,806.19

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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.