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Finding the Fourth Proportional to 420,954.36, 631,680.70 and 154,901.71

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Solution

The fourth proportional to 420,954.36, 631,680.70 and 154,901.71 is: 232,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,954.36 : 631,680.70 = 154,901.71 : x
  2. Step 2: Convert to fraction form
    420,954.36/631,680.70 = 154,901.71/x
  3. Step 3: Cross multiply
    420,954.36x = 631,680.70 × 154,901.71
  4. Step 4: Simplify right side
    420,954.36x = 97,848,419,829.49
  5. Step 5: Solve for x
    x = 97,848,419,829.49/420,954.36
  6. Step 6: Final answer
    x = 232,444.25

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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.