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Finding the Fourth Proportional to 288,776.82, 433,136.67 and 89,043.30

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Solution

The fourth proportional to 288,776.82, 433,136.67 and 89,043.30 is: 133,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,776.82 : 433,136.67 = 89,043.30 : x
  2. Step 2: Convert to fraction form
    288,776.82/433,136.67 = 89,043.30/x
  3. Step 3: Cross multiply
    288,776.82x = 433,136.67 × 89,043.30
  4. Step 4: Simplify right side
    288,776.82x = 38,567,918,447.81
  5. Step 5: Solve for x
    x = 38,567,918,447.81/288,776.82
  6. Step 6: Final answer
    x = 133,556.14

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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.