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Finding the Fourth Proportional to 420,874.79, 631,312.18 and 105,331.69

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Solution

The fourth proportional to 420,874.79, 631,312.18 and 105,331.69 is: 157,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,874.79 : 631,312.18 = 105,331.69 : x
  2. Step 2: Convert to fraction form
    420,874.79/631,312.18 = 105,331.69/x
  3. Step 3: Cross multiply
    420,874.79x = 631,312.18 × 105,331.69
  4. Step 4: Simplify right side
    420,874.79x = 66,497,179,362.80
  5. Step 5: Solve for x
    x = 66,497,179,362.80/420,874.79
  6. Step 6: Final answer
    x = 157,997.54

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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.