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Finding the Fourth Proportional to 463,800.09, 695,618.12 and 211,021.16

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Solution

The fourth proportional to 463,800.09, 695,618.12 and 211,021.16 is: 316,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,800.09 : 695,618.12 = 211,021.16 : x
  2. Step 2: Convert to fraction form
    463,800.09/695,618.12 = 211,021.16/x
  3. Step 3: Cross multiply
    463,800.09x = 695,618.12 × 211,021.16
  4. Step 4: Simplify right side
    463,800.09x = 146,790,142,599.42
  5. Step 5: Solve for x
    x = 146,790,142,599.42/463,800.09
  6. Step 6: Final answer
    x = 316,494.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.