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Finding the Fourth Proportional to 382,081.52, 572,723.64 and 213,354.48

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Solution

The fourth proportional to 382,081.52, 572,723.64 and 213,354.48 is: 319,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,081.52 : 572,723.64 = 213,354.48 : x
  2. Step 2: Convert to fraction form
    382,081.52/572,723.64 = 213,354.48/x
  3. Step 3: Cross multiply
    382,081.52x = 572,723.64 × 213,354.48
  4. Step 4: Simplify right side
    382,081.52x = 122,193,154,395.91
  5. Step 5: Solve for x
    x = 122,193,154,395.91/382,081.52
  6. Step 6: Final answer
    x = 319,809.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.