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Finding the Fourth Proportional to 282,003.80, 423,005.70 and 262,320.80

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Solution

The fourth proportional to 282,003.80, 423,005.70 and 262,320.80 is: 393,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,003.80 : 423,005.70 = 262,320.80 : x
  2. Step 2: Convert to fraction form
    282,003.80/423,005.70 = 262,320.80/x
  3. Step 3: Cross multiply
    282,003.80x = 423,005.70 × 262,320.80
  4. Step 4: Simplify right side
    282,003.80x = 110,963,193,628.56
  5. Step 5: Solve for x
    x = 110,963,193,628.56/282,003.80
  6. Step 6: Final answer
    x = 393,481.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.