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Finding the Fourth Proportional to 282,597.56, 389,984.54 and 155,281.35

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Solution

The fourth proportional to 282,597.56, 389,984.54 and 155,281.35 is: 214,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,597.56 : 389,984.54 = 155,281.35 : x
  2. Step 2: Convert to fraction form
    282,597.56/389,984.54 = 155,281.35/x
  3. Step 3: Cross multiply
    282,597.56x = 389,984.54 × 155,281.35
  4. Step 4: Simplify right side
    282,597.56x = 60,557,325,268.02
  5. Step 5: Solve for x
    x = 60,557,325,268.02/282,597.56
  6. Step 6: Final answer
    x = 214,288.21

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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.