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Finding the Fourth Proportional to 282,138.48, 423,392.04 and 134,406

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Solution

The fourth proportional to 282,138.48, 423,392.04 and 134,406 is: 201,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,138.48 : 423,392.04 = 134,406 : x
  2. Step 2: Convert to fraction form
    282,138.48/423,392.04 = 134,406/x
  3. Step 3: Cross multiply
    282,138.48x = 423,392.04 × 134,406
  4. Step 4: Simplify right side
    282,138.48x = 56,906,430,528.24
  5. Step 5: Solve for x
    x = 56,906,430,528.24/282,138.48
  6. Step 6: Final answer
    x = 201,696.81

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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.