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Finding the Fourth Proportional to 420,863.51, 631,546.80 and 154,650.94

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Solution

The fourth proportional to 420,863.51, 631,546.80 and 154,650.94 is: 232,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,863.51 : 631,546.80 = 154,650.94 : x
  2. Step 2: Convert to fraction form
    420,863.51/631,546.80 = 154,650.94/x
  3. Step 3: Cross multiply
    420,863.51x = 631,546.80 × 154,650.94
  4. Step 4: Simplify right side
    420,863.51x = 97,669,304,115.18
  5. Step 5: Solve for x
    x = 97,669,304,115.18/420,863.51
  6. Step 6: Final answer
    x = 232,068.83

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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.