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Finding the Fourth Proportional to 514,192.50, 771,288.75 and 218,704.50

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Solution

The fourth proportional to 514,192.50, 771,288.75 and 218,704.50 is: 328,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,192.50 : 771,288.75 = 218,704.50 : x
  2. Step 2: Convert to fraction form
    514,192.50/771,288.75 = 218,704.50/x
  3. Step 3: Cross multiply
    514,192.50x = 771,288.75 × 218,704.50
  4. Step 4: Simplify right side
    514,192.50x = 168,684,320,424.38
  5. Step 5: Solve for x
    x = 168,684,320,424.38/514,192.50
  6. Step 6: Final answer
    x = 328,056.75

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Similar ratio
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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.