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Finding the Fourth Proportional to 282,062.38, 389,239.32 and 154,736.86

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Solution

The fourth proportional to 282,062.38, 389,239.32 and 154,736.86 is: 213,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,062.38 : 389,239.32 = 154,736.86 : x
  2. Step 2: Convert to fraction form
    282,062.38/389,239.32 = 154,736.86/x
  3. Step 3: Cross multiply
    282,062.38x = 389,239.32 × 154,736.86
  4. Step 4: Simplify right side
    282,062.38x = 60,229,670,165.34
  5. Step 5: Solve for x
    x = 60,229,670,165.34/282,062.38
  6. Step 6: Final answer
    x = 213,533.16

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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.