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Finding the Fourth Proportional to 535,778.72, 803,668 and 417,538.56

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Solution

The fourth proportional to 535,778.72, 803,668 and 417,538.56 is: 626,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,778.72 : 803,668 = 417,538.56 : x
  2. Step 2: Convert to fraction form
    535,778.72/803,668 = 417,538.56/x
  3. Step 3: Cross multiply
    535,778.72x = 803,668 × 417,538.56
  4. Step 4: Simplify right side
    535,778.72x = 335,562,379,438.08
  5. Step 5: Solve for x
    x = 335,562,379,438.08/535,778.72
  6. Step 6: Final answer
    x = 626,307.78

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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.