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Finding the Fourth Proportional to 282,356.63, 389,658.44 and 155,032.73

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Solution

The fourth proportional to 282,356.63, 389,658.44 and 155,032.73 is: 213,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,356.63 : 389,658.44 = 155,032.73 : x
  2. Step 2: Convert to fraction form
    282,356.63/389,658.44 = 155,032.73/x
  3. Step 3: Cross multiply
    282,356.63x = 389,658.44 × 155,032.73
  4. Step 4: Simplify right side
    282,356.63x = 60,409,811,720.74
  5. Step 5: Solve for x
    x = 60,409,811,720.74/282,356.63
  6. Step 6: Final answer
    x = 213,948.62

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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.