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Finding the Fourth Proportional to 282,649.82, 389,881.82 and 185,864.81

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Solution

The fourth proportional to 282,649.82, 389,881.82 and 185,864.81 is: 256,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,649.82 : 389,881.82 = 185,864.81 : x
  2. Step 2: Convert to fraction form
    282,649.82/389,881.82 = 185,864.81/x
  3. Step 3: Cross multiply
    282,649.82x = 389,881.82 × 185,864.81
  4. Step 4: Simplify right side
    282,649.82x = 72,465,308,912.01
  5. Step 5: Solve for x
    x = 72,465,308,912.01/282,649.82
  6. Step 6: Final answer
    x = 256,378.41

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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.