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Finding the Fourth Proportional to 282,004, 389,180.88 and 162,810.40

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Solution

The fourth proportional to 282,004, 389,180.88 and 162,810.40 is: 224,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,004 : 389,180.88 = 162,810.40 : x
  2. Step 2: Convert to fraction form
    282,004/389,180.88 = 162,810.40/x
  3. Step 3: Cross multiply
    282,004x = 389,180.88 × 162,810.40
  4. Step 4: Simplify right side
    282,004x = 63,362,694,745.15
  5. Step 5: Solve for x
    x = 63,362,694,745.15/282,004
  6. Step 6: Final answer
    x = 224,687.22

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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.