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Finding the Fourth Proportional to 386,783.43, 533,752.68 and 214,691.28

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Solution

The fourth proportional to 386,783.43, 533,752.68 and 214,691.28 is: 296,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,783.43 : 533,752.68 = 214,691.28 : x
  2. Step 2: Convert to fraction form
    386,783.43/533,752.68 = 214,691.28/x
  3. Step 3: Cross multiply
    386,783.43x = 533,752.68 × 214,691.28
  4. Step 4: Simplify right side
    386,783.43x = 114,592,046,072.63
  5. Step 5: Solve for x
    x = 114,592,046,072.63/386,783.43
  6. Step 6: Final answer
    x = 296,269.27

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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.