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Finding the Fourth Proportional to 382,970.53, 528,489.03 and 213,204.67

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Solution

The fourth proportional to 382,970.53, 528,489.03 and 213,204.67 is: 294,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,970.53 : 528,489.03 = 213,204.67 : x
  2. Step 2: Convert to fraction form
    382,970.53/528,489.03 = 213,204.67/x
  3. Step 3: Cross multiply
    382,970.53x = 528,489.03 × 213,204.67
  4. Step 4: Simplify right side
    382,970.53x = 112,676,329,239.77
  5. Step 5: Solve for x
    x = 112,676,329,239.77/382,970.53
  6. Step 6: Final answer
    x = 294,216.71

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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.