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Finding the Fourth Proportional to 386,974.98, 534,007.50 and 214,903.86

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Solution

The fourth proportional to 386,974.98, 534,007.50 and 214,903.86 is: 296,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,974.98 : 534,007.50 = 214,903.86 : x
  2. Step 2: Convert to fraction form
    386,974.98/534,007.50 = 214,903.86/x
  3. Step 3: Cross multiply
    386,974.98x = 534,007.50 × 214,903.86
  4. Step 4: Simplify right side
    386,974.98x = 114,760,273,018.95
  5. Step 5: Solve for x
    x = 114,760,273,018.95/386,974.98
  6. Step 6: Final answer
    x = 296,557.35

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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.