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Finding the Fourth Proportional to 256,039.80, 384,059.70 and 176,323.65

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Solution

The fourth proportional to 256,039.80, 384,059.70 and 176,323.65 is: 264,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,039.80 : 384,059.70 = 176,323.65 : x
  2. Step 2: Convert to fraction form
    256,039.80/384,059.70 = 176,323.65/x
  3. Step 3: Cross multiply
    256,039.80x = 384,059.70 × 176,323.65
  4. Step 4: Simplify right side
    256,039.80x = 67,718,808,121.91
  5. Step 5: Solve for x
    x = 67,718,808,121.91/256,039.80
  6. Step 6: Final answer
    x = 264,485.48

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1.5x scale

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.