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Finding the Fourth Proportional to 431,816.53, 646,857.34 and 215,022.13

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Solution

The fourth proportional to 431,816.53, 646,857.34 and 215,022.13 is: 322,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,816.53 : 646,857.34 = 215,022.13 : x
  2. Step 2: Convert to fraction form
    431,816.53/646,857.34 = 215,022.13/x
  3. Step 3: Cross multiply
    431,816.53x = 646,857.34 × 215,022.13
  4. Step 4: Simplify right side
    431,816.53x = 139,088,641,654.18
  5. Step 5: Solve for x
    x = 139,088,641,654.18/431,816.53
  6. Step 6: Final answer
    x = 322,101.24

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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.