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Finding the Fourth Proportional to 282,114.92, 389,325.76 and 154,790.48

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Solution

The fourth proportional to 282,114.92, 389,325.76 and 154,790.48 is: 213,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,114.92 : 389,325.76 = 154,790.48 : x
  2. Step 2: Convert to fraction form
    282,114.92/389,325.76 = 154,790.48/x
  3. Step 3: Cross multiply
    282,114.92x = 389,325.76 × 154,790.48
  4. Step 4: Simplify right side
    282,114.92x = 60,263,921,853.10
  5. Step 5: Solve for x
    x = 60,263,921,853.10/282,114.92
  6. Step 6: Final answer
    x = 213,614.80

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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.