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Finding the Fourth Proportional to 282,609.35, 389,978.28 and 161,722.92

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Solution

The fourth proportional to 282,609.35, 389,978.28 and 161,722.92 is: 223,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,609.35 : 389,978.28 = 161,722.92 : x
  2. Step 2: Convert to fraction form
    282,609.35/389,978.28 = 161,722.92/x
  3. Step 3: Cross multiply
    282,609.35x = 389,978.28 × 161,722.92
  4. Step 4: Simplify right side
    282,609.35x = 63,068,426,178.18
  5. Step 5: Solve for x
    x = 63,068,426,178.18/282,609.35
  6. Step 6: Final answer
    x = 223,164.68

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1.5x scale

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.