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Finding the Fourth Proportional to 282,744.75, 390,188.57 and 161,887.89

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Solution

The fourth proportional to 282,744.75, 390,188.57 and 161,887.89 is: 223,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,744.75 : 390,188.57 = 161,887.89 : x
  2. Step 2: Convert to fraction form
    282,744.75/390,188.57 = 161,887.89/x
  3. Step 3: Cross multiply
    282,744.75x = 390,188.57 × 161,887.89
  4. Step 4: Simplify right side
    282,744.75x = 63,166,803,489.98
  5. Step 5: Solve for x
    x = 63,166,803,489.98/282,744.75
  6. Step 6: Final answer
    x = 223,405.75

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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.