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Finding the Fourth Proportional to 384,695.25, 530,879.67 and 214,929.38

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Solution

The fourth proportional to 384,695.25, 530,879.67 and 214,929.38 is: 296,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,695.25 : 530,879.67 = 214,929.38 : x
  2. Step 2: Convert to fraction form
    384,695.25/530,879.67 = 214,929.38/x
  3. Step 3: Cross multiply
    384,695.25x = 530,879.67 × 214,929.38
  4. Step 4: Simplify right side
    384,695.25x = 114,101,635,673.31
  5. Step 5: Solve for x
    x = 114,101,635,673.31/384,695.25
  6. Step 6: Final answer
    x = 296,602.66

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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.