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Finding the Fourth Proportional to 282,629.79, 390,027.96 and 161,770.50

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Solution

The fourth proportional to 282,629.79, 390,027.96 and 161,770.50 is: 223,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,629.79 : 390,027.96 = 161,770.50 : x
  2. Step 2: Convert to fraction form
    282,629.79/390,027.96 = 161,770.50/x
  3. Step 3: Cross multiply
    282,629.79x = 390,027.96 × 161,770.50
  4. Step 4: Simplify right side
    282,629.79x = 63,095,018,103.18
  5. Step 5: Solve for x
    x = 63,095,018,103.18/282,629.79
  6. Step 6: Final answer
    x = 223,242.63

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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.