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Finding the Fourth Proportional to 309,639.40, 427,335.78 and 175,489

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Solution

The fourth proportional to 309,639.40, 427,335.78 and 175,489 is: 242,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,639.40 : 427,335.78 = 175,489 : x
  2. Step 2: Convert to fraction form
    309,639.40/427,335.78 = 175,489/x
  3. Step 3: Cross multiply
    309,639.40x = 427,335.78 × 175,489
  4. Step 4: Simplify right side
    309,639.40x = 74,992,728,696.42
  5. Step 5: Solve for x
    x = 74,992,728,696.42/309,639.40
  6. Step 6: Final answer
    x = 242,193.75

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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.