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Finding the Fourth Proportional to 535,997.70, 803,437.08 and 180,889.38

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Solution

The fourth proportional to 535,997.70, 803,437.08 and 180,889.38 is: 271,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,997.70 : 803,437.08 = 180,889.38 : x
  2. Step 2: Convert to fraction form
    535,997.70/803,437.08 = 180,889.38/x
  3. Step 3: Cross multiply
    535,997.70x = 803,437.08 × 180,889.38
  4. Step 4: Simplify right side
    535,997.70x = 145,333,235,270.21
  5. Step 5: Solve for x
    x = 145,333,235,270.21/535,997.70
  6. Step 6: Final answer
    x = 271,145.26

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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.