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Finding the Fourth Proportional to 282,336, 423,504 and 85,344

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Solution

The fourth proportional to 282,336, 423,504 and 85,344 is: 128,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,336 : 423,504 = 85,344 : x
  2. Step 2: Convert to fraction form
    282,336/423,504 = 85,344/x
  3. Step 3: Cross multiply
    282,336x = 423,504 × 85,344
  4. Step 4: Simplify right side
    282,336x = 36,143,525,376
  5. Step 5: Solve for x
    x = 36,143,525,376/282,336
  6. Step 6: Final answer
    x = 128,016

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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.