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Finding the Fourth Proportional to 279,218.67, 418,744.80 and 101,684.16

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Solution

The fourth proportional to 279,218.67, 418,744.80 and 101,684.16 is: 152,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,218.67 : 418,744.80 = 101,684.16 : x
  2. Step 2: Convert to fraction form
    279,218.67/418,744.80 = 101,684.16/x
  3. Step 3: Cross multiply
    279,218.67x = 418,744.80 × 101,684.16
  4. Step 4: Simplify right side
    279,218.67x = 42,579,713,242.37
  5. Step 5: Solve for x
    x = 42,579,713,242.37/279,218.67
  6. Step 6: Final answer
    x = 152,495.94

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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.