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Finding the Fourth Proportional to 282,369.16, 389,670.11 and 155,052.96

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Solution

The fourth proportional to 282,369.16, 389,670.11 and 155,052.96 is: 213,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,369.16 : 389,670.11 = 155,052.96 : x
  2. Step 2: Convert to fraction form
    282,369.16/389,670.11 = 155,052.96/x
  3. Step 3: Cross multiply
    282,369.16x = 389,670.11 × 155,052.96
  4. Step 4: Simplify right side
    282,369.16x = 60,419,503,979.03
  5. Step 5: Solve for x
    x = 60,419,503,979.03/282,369.16
  6. Step 6: Final answer
    x = 213,973.45

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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.