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Finding the Fourth Proportional to 420,790.64, 631,268.27 and 154,553.15

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Solution

The fourth proportional to 420,790.64, 631,268.27 and 154,553.15 is: 231,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,790.64 : 631,268.27 = 154,553.15 : x
  2. Step 2: Convert to fraction form
    420,790.64/631,268.27 = 154,553.15/x
  3. Step 3: Cross multiply
    420,790.64x = 631,268.27 × 154,553.15
  4. Step 4: Simplify right side
    420,790.64x = 97,564,501,008.53
  5. Step 5: Solve for x
    x = 97,564,501,008.53/420,790.64
  6. Step 6: Final answer
    x = 231,859.96

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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.