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Finding the Fourth Proportional to 386,992.47, 534,034.17 and 214,919.31

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Solution

The fourth proportional to 386,992.47, 534,034.17 and 214,919.31 is: 296,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,992.47 : 534,034.17 = 214,919.31 : x
  2. Step 2: Convert to fraction form
    386,992.47/534,034.17 = 214,919.31/x
  3. Step 3: Cross multiply
    386,992.47x = 534,034.17 × 214,919.31
  4. Step 4: Simplify right side
    386,992.47x = 114,774,255,332.82
  5. Step 5: Solve for x
    x = 114,774,255,332.82/386,992.47
  6. Step 6: Final answer
    x = 296,580.07

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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.