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Finding the Fourth Proportional to 382,895.52, 528,390.59 and 213,129.78

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Solution

The fourth proportional to 382,895.52, 528,390.59 and 213,129.78 is: 294,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,895.52 : 528,390.59 = 213,129.78 : x
  2. Step 2: Convert to fraction form
    382,895.52/528,390.59 = 213,129.78/x
  3. Step 3: Cross multiply
    382,895.52x = 528,390.59 × 213,129.78
  4. Step 4: Simplify right side
    382,895.52x = 112,615,769,135.12
  5. Step 5: Solve for x
    x = 112,615,769,135.12/382,895.52
  6. Step 6: Final answer
    x = 294,116.18

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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.