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Finding the Fourth Proportional to 282,062.88, 389,256.90 and 154,742.22

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Solution

The fourth proportional to 282,062.88, 389,256.90 and 154,742.22 is: 213,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,062.88 : 389,256.90 = 154,742.22 : x
  2. Step 2: Convert to fraction form
    282,062.88/389,256.90 = 154,742.22/x
  3. Step 3: Cross multiply
    282,062.88x = 389,256.90 × 154,742.22
  4. Step 4: Simplify right side
    282,062.88x = 60,234,476,856.32
  5. Step 5: Solve for x
    x = 60,234,476,856.32/282,062.88
  6. Step 6: Final answer
    x = 213,549.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.