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Finding the Fourth Proportional to 535,100.30, 802,655.30 and 231,437.78

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Solution

The fourth proportional to 535,100.30, 802,655.30 and 231,437.78 is: 347,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,100.30 : 802,655.30 = 231,437.78 : x
  2. Step 2: Convert to fraction form
    535,100.30/802,655.30 = 231,437.78/x
  3. Step 3: Cross multiply
    535,100.30x = 802,655.30 × 231,437.78
  4. Step 4: Simplify right side
    535,100.30x = 185,764,757,302.55
  5. Step 5: Solve for x
    x = 185,764,757,302.55/535,100.30
  6. Step 6: Final answer
    x = 347,158.76

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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.