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Finding the Fourth Proportional to 282,389.56, 389,702.36 and 155,077

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Solution

The fourth proportional to 282,389.56, 389,702.36 and 155,077 is: 214,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,389.56 : 389,702.36 = 155,077 : x
  2. Step 2: Convert to fraction form
    282,389.56/389,702.36 = 155,077/x
  3. Step 3: Cross multiply
    282,389.56x = 389,702.36 × 155,077
  4. Step 4: Simplify right side
    282,389.56x = 60,433,872,881.72
  5. Step 5: Solve for x
    x = 60,433,872,881.72/282,389.56
  6. Step 6: Final answer
    x = 214,008.88

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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.