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Finding the Fourth Proportional to 535,621.72, 803,128.11 and 413,999.24

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Solution

The fourth proportional to 535,621.72, 803,128.11 and 413,999.24 is: 620,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,621.72 : 803,128.11 = 413,999.24 : x
  2. Step 2: Convert to fraction form
    535,621.72/803,128.11 = 413,999.24/x
  3. Step 3: Cross multiply
    535,621.72x = 803,128.11 × 413,999.24
  4. Step 4: Simplify right side
    535,621.72x = 332,494,427,162.64
  5. Step 5: Solve for x
    x = 332,494,427,162.64/535,621.72
  6. Step 6: Final answer
    x = 620,763.53

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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.