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Finding the Fourth Proportional to 282,664.80, 390,076.26 and 161,805.50

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Solution

The fourth proportional to 282,664.80, 390,076.26 and 161,805.50 is: 223,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,664.80 : 390,076.26 = 161,805.50 : x
  2. Step 2: Convert to fraction form
    282,664.80/390,076.26 = 161,805.50/x
  3. Step 3: Cross multiply
    282,664.80x = 390,076.26 × 161,805.50
  4. Step 4: Simplify right side
    282,664.80x = 63,116,484,287.43
  5. Step 5: Solve for x
    x = 63,116,484,287.43/282,664.80
  6. Step 6: Final answer
    x = 223,290.92

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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.