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Finding the Fourth Proportional to 535,123.68, 802,809.12 and 180,128.64

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Solution

The fourth proportional to 535,123.68, 802,809.12 and 180,128.64 is: 270,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,123.68 : 802,809.12 = 180,128.64 : x
  2. Step 2: Convert to fraction form
    535,123.68/802,809.12 = 180,128.64/x
  3. Step 3: Cross multiply
    535,123.68x = 802,809.12 × 180,128.64
  4. Step 4: Simplify right side
    535,123.68x = 144,608,914,965.20
  5. Step 5: Solve for x
    x = 144,608,914,965.20/535,123.68
  6. Step 6: Final answer
    x = 270,234.57

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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.