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Finding the Fourth Proportional to 282,683, 390,079.68 and 161,796.80

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Solution

The fourth proportional to 282,683, 390,079.68 and 161,796.80 is: 223,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,683 : 390,079.68 = 161,796.80 : x
  2. Step 2: Convert to fraction form
    282,683/390,079.68 = 161,796.80/x
  3. Step 3: Cross multiply
    282,683x = 390,079.68 × 161,796.80
  4. Step 4: Simplify right side
    282,683x = 63,113,643,969.02
  5. Step 5: Solve for x
    x = 63,113,643,969.02/282,683
  6. Step 6: Final answer
    x = 223,266.50

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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.