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Finding the Fourth Proportional to 420,705.56, 631,063.80 and 121,191.08

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Solution

The fourth proportional to 420,705.56, 631,063.80 and 121,191.08 is: 181,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,705.56 : 631,063.80 = 121,191.08 : x
  2. Step 2: Convert to fraction form
    420,705.56/631,063.80 = 121,191.08/x
  3. Step 3: Cross multiply
    420,705.56x = 631,063.80 × 121,191.08
  4. Step 4: Simplify right side
    420,705.56x = 76,479,303,470.90
  5. Step 5: Solve for x
    x = 76,479,303,470.90/420,705.56
  6. Step 6: Final answer
    x = 181,788.19

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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.