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Finding the Fourth Proportional to 282,010, 389,173.80 and 162,778

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Solution

The fourth proportional to 282,010, 389,173.80 and 162,778 is: 224,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,010 : 389,173.80 = 162,778 : x
  2. Step 2: Convert to fraction form
    282,010/389,173.80 = 162,778/x
  3. Step 3: Cross multiply
    282,010x = 389,173.80 × 162,778
  4. Step 4: Simplify right side
    282,010x = 63,348,932,816.40
  5. Step 5: Solve for x
    x = 63,348,932,816.40/282,010
  6. Step 6: Final answer
    x = 224,633.64

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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.