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Finding the Fourth Proportional to 270,478.17, 405,754.16 and 112,669.72

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Solution

The fourth proportional to 270,478.17, 405,754.16 and 112,669.72 is: 169,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,478.17 : 405,754.16 = 112,669.72 : x
  2. Step 2: Convert to fraction form
    270,478.17/405,754.16 = 112,669.72/x
  3. Step 3: Cross multiply
    270,478.17x = 405,754.16 × 112,669.72
  4. Step 4: Simplify right side
    270,478.17x = 45,716,207,596.04
  5. Step 5: Solve for x
    x = 45,716,207,596.04/270,478.17
  6. Step 6: Final answer
    x = 169,019.95

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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.