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Finding the Fourth Proportional to 386,518.91, 533,399.30 and 214,448.16

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Solution

The fourth proportional to 386,518.91, 533,399.30 and 214,448.16 is: 295,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,518.91 : 533,399.30 = 214,448.16 : x
  2. Step 2: Convert to fraction form
    386,518.91/533,399.30 = 214,448.16/x
  3. Step 3: Cross multiply
    386,518.91x = 533,399.30 × 214,448.16
  4. Step 4: Simplify right side
    386,518.91x = 114,386,497,358.05
  5. Step 5: Solve for x
    x = 114,386,497,358.05/386,518.91
  6. Step 6: Final answer
    x = 295,940.24

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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.