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Finding the Fourth Proportional to 282,597.29, 389,961.63 and 161,710.86

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Solution

The fourth proportional to 282,597.29, 389,961.63 and 161,710.86 is: 223,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,597.29 : 389,961.63 = 161,710.86 : x
  2. Step 2: Convert to fraction form
    282,597.29/389,961.63 = 161,710.86/x
  3. Step 3: Cross multiply
    282,597.29x = 389,961.63 × 161,710.86
  4. Step 4: Simplify right side
    282,597.29x = 63,061,030,554.30
  5. Step 5: Solve for x
    x = 63,061,030,554.30/282,597.29
  6. Step 6: Final answer
    x = 223,148.04

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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.