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Finding the Fourth Proportional to 420,955.65, 631,433.48 and 252,994.05

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Solution

The fourth proportional to 420,955.65, 631,433.48 and 252,994.05 is: 379,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,955.65 : 631,433.48 = 252,994.05 : x
  2. Step 2: Convert to fraction form
    420,955.65/631,433.48 = 252,994.05/x
  3. Step 3: Cross multiply
    420,955.65x = 631,433.48 × 252,994.05
  4. Step 4: Simplify right side
    420,955.65x = 159,748,912,145.82
  5. Step 5: Solve for x
    x = 159,748,912,145.82/420,955.65
  6. Step 6: Final answer
    x = 379,491.08

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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.