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Finding the Fourth Proportional to 289,149.68, 433,616.64 and 99,556.48

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Solution

The fourth proportional to 289,149.68, 433,616.64 and 99,556.48 is: 149,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,149.68 : 433,616.64 = 99,556.48 : x
  2. Step 2: Convert to fraction form
    289,149.68/433,616.64 = 99,556.48/x
  3. Step 3: Cross multiply
    289,149.68x = 433,616.64 × 99,556.48
  4. Step 4: Simplify right side
    289,149.68x = 43,169,346,347.83
  5. Step 5: Solve for x
    x = 43,169,346,347.83/289,149.68
  6. Step 6: Final answer
    x = 149,297.58

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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.