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Finding the Fourth Proportional to 282,652.81, 390,040.61 and 161,792.33

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Solution

The fourth proportional to 282,652.81, 390,040.61 and 161,792.33 is: 223,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,652.81 : 390,040.61 = 161,792.33 : x
  2. Step 2: Convert to fraction form
    282,652.81/390,040.61 = 161,792.33/x
  3. Step 3: Cross multiply
    282,652.81x = 390,040.61 × 161,792.33
  4. Step 4: Simplify right side
    282,652.81x = 63,105,576,327.36
  5. Step 5: Solve for x
    x = 63,105,576,327.36/282,652.81
  6. Step 6: Final answer
    x = 223,261.81

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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.