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Finding the Fourth Proportional to 384,758.36, 530,965.42 and 214,992.62

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Solution

The fourth proportional to 384,758.36, 530,965.42 and 214,992.62 is: 296,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,758.36 : 530,965.42 = 214,992.62 : x
  2. Step 2: Convert to fraction form
    384,758.36/530,965.42 = 214,992.62/x
  3. Step 3: Cross multiply
    384,758.36x = 530,965.42 × 214,992.62
  4. Step 4: Simplify right side
    384,758.36x = 114,153,643,582.89
  5. Step 5: Solve for x
    x = 114,153,643,582.89/384,758.36
  6. Step 6: Final answer
    x = 296,689.19

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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.