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Finding the Fourth Proportional to 282,256.80, 389,518.80 and 154,944

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Solution

The fourth proportional to 282,256.80, 389,518.80 and 154,944 is: 213,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,256.80 : 389,518.80 = 154,944 : x
  2. Step 2: Convert to fraction form
    282,256.80/389,518.80 = 154,944/x
  3. Step 3: Cross multiply
    282,256.80x = 389,518.80 × 154,944
  4. Step 4: Simplify right side
    282,256.80x = 60,353,600,947.20
  5. Step 5: Solve for x
    x = 60,353,600,947.20/282,256.80
  6. Step 6: Final answer
    x = 213,825.14

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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.