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Finding the Fourth Proportional to 306,007.50, 422,329.95 and 171,871.50

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Solution

The fourth proportional to 306,007.50, 422,329.95 and 171,871.50 is: 237,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,007.50 : 422,329.95 = 171,871.50 : x
  2. Step 2: Convert to fraction form
    306,007.50/422,329.95 = 171,871.50/x
  3. Step 3: Cross multiply
    306,007.50x = 422,329.95 × 171,871.50
  4. Step 4: Simplify right side
    306,007.50x = 72,586,482,001.43
  5. Step 5: Solve for x
    x = 72,586,482,001.43/306,007.50
  6. Step 6: Final answer
    x = 237,204.91

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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.