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Finding the Fourth Proportional to 282,094.72, 389,290.71 and 161,238.60

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Solution

The fourth proportional to 282,094.72, 389,290.71 and 161,238.60 is: 222,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,094.72 : 389,290.71 = 161,238.60 : x
  2. Step 2: Convert to fraction form
    282,094.72/389,290.71 = 161,238.60/x
  3. Step 3: Cross multiply
    282,094.72x = 389,290.71 × 161,238.60
  4. Step 4: Simplify right side
    282,094.72x = 62,768,689,073.41
  5. Step 5: Solve for x
    x = 62,768,689,073.41/282,094.72
  6. Step 6: Final answer
    x = 222,509.27

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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.