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Finding the Fourth Proportional to 508,178.50, 762,382.73 and 171,209.98

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Solution

The fourth proportional to 508,178.50, 762,382.73 and 171,209.98 is: 256,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,178.50 : 762,382.73 = 171,209.98 : x
  2. Step 2: Convert to fraction form
    508,178.50/762,382.73 = 171,209.98/x
  3. Step 3: Cross multiply
    508,178.50x = 762,382.73 × 171,209.98
  4. Step 4: Simplify right side
    508,178.50x = 130,527,531,192.45
  5. Step 5: Solve for x
    x = 130,527,531,192.45/508,178.50
  6. Step 6: Final answer
    x = 256,853.71

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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.