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Finding the Fourth Proportional to 284,004.90, 391,945.80 and 163,185.30

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Solution

The fourth proportional to 284,004.90, 391,945.80 and 163,185.30 is: 225,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,004.90 : 391,945.80 = 163,185.30 : x
  2. Step 2: Convert to fraction form
    284,004.90/391,945.80 = 163,185.30/x
  3. Step 3: Cross multiply
    284,004.90x = 391,945.80 × 163,185.30
  4. Step 4: Simplify right side
    284,004.90x = 63,959,792,956.74
  5. Step 5: Solve for x
    x = 63,959,792,956.74/284,004.90
  6. Step 6: Final answer
    x = 225,206.65

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1.5x scale

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.