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Finding the Fourth Proportional to 282,485, 389,829.66 and 155,163.08

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Solution

The fourth proportional to 282,485, 389,829.66 and 155,163.08 is: 214,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,485 : 389,829.66 = 155,163.08 : x
  2. Step 2: Convert to fraction form
    282,485/389,829.66 = 155,163.08/x
  3. Step 3: Cross multiply
    282,485x = 389,829.66 × 155,163.08
  4. Step 4: Simplify right side
    282,485x = 60,487,170,720.95
  5. Step 5: Solve for x
    x = 60,487,170,720.95/282,485
  6. Step 6: Final answer
    x = 214,125.25

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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.