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Finding the Fourth Proportional to 282,345.97, 389,638.11 and 155,029.77

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Solution

The fourth proportional to 282,345.97, 389,638.11 and 155,029.77 is: 213,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,345.97 : 389,638.11 = 155,029.77 : x
  2. Step 2: Convert to fraction form
    282,345.97/389,638.11 = 155,029.77/x
  3. Step 3: Cross multiply
    282,345.97x = 389,638.11 × 155,029.77
  4. Step 4: Simplify right side
    282,345.97x = 60,405,506,576.53
  5. Step 5: Solve for x
    x = 60,405,506,576.53/282,345.97
  6. Step 6: Final answer
    x = 213,941.45

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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.