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Finding the Fourth Proportional to 282,056, 389,248.80 and 162,824

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Solution

The fourth proportional to 282,056, 389,248.80 and 162,824 is: 224,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,056 : 389,248.80 = 162,824 : x
  2. Step 2: Convert to fraction form
    282,056/389,248.80 = 162,824/x
  3. Step 3: Cross multiply
    282,056x = 389,248.80 × 162,824
  4. Step 4: Simplify right side
    282,056x = 63,379,046,611.20
  5. Step 5: Solve for x
    x = 63,379,046,611.20/282,056
  6. Step 6: Final answer
    x = 224,703.77

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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.