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Finding the Fourth Proportional to 282,348.20, 389,529.40 and 161,424.52

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Solution

The fourth proportional to 282,348.20, 389,529.40 and 161,424.52 is: 222,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,348.20 : 389,529.40 = 161,424.52 : x
  2. Step 2: Convert to fraction form
    282,348.20/389,529.40 = 161,424.52/x
  3. Step 3: Cross multiply
    282,348.20x = 389,529.40 × 161,424.52
  4. Step 4: Simplify right side
    282,348.20x = 62,879,596,420.89
  5. Step 5: Solve for x
    x = 62,879,596,420.89/282,348.20
  6. Step 6: Final answer
    x = 222,702.31

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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.