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Finding the Fourth Proportional to 382,805.95, 528,261.18 and 213,036.43

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Solution

The fourth proportional to 382,805.95, 528,261.18 and 213,036.43 is: 293,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,805.95 : 528,261.18 = 213,036.43 : x
  2. Step 2: Convert to fraction form
    382,805.95/528,261.18 = 213,036.43/x
  3. Step 3: Cross multiply
    382,805.95x = 528,261.18 × 213,036.43
  4. Step 4: Simplify right side
    382,805.95x = 112,538,875,894.79
  5. Step 5: Solve for x
    x = 112,538,875,894.79/382,805.95
  6. Step 6: Final answer
    x = 293,984.13

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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.