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Finding the Fourth Proportional to 535,150, 803,115.96 and 431,223.76

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Solution

The fourth proportional to 535,150, 803,115.96 and 431,223.76 is: 647,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,150 : 803,115.96 = 431,223.76 : x
  2. Step 2: Convert to fraction form
    535,150/803,115.96 = 431,223.76/x
  3. Step 3: Cross multiply
    535,150x = 803,115.96 × 431,223.76
  4. Step 4: Simplify right side
    535,150x = 346,322,683,987.21
  5. Step 5: Solve for x
    x = 346,322,683,987.21/535,150
  6. Step 6: Final answer
    x = 647,150.68

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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.