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Finding the Fourth Proportional to 289,081.14, 433,513.98 and 99,488.49

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Solution

The fourth proportional to 289,081.14, 433,513.98 and 99,488.49 is: 149,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,081.14 : 433,513.98 = 99,488.49 : x
  2. Step 2: Convert to fraction form
    289,081.14/433,513.98 = 99,488.49/x
  3. Step 3: Cross multiply
    289,081.14x = 433,513.98 × 99,488.49
  4. Step 4: Simplify right side
    289,081.14x = 43,129,651,264.09
  5. Step 5: Solve for x
    x = 43,129,651,264.09/289,081.14
  6. Step 6: Final answer
    x = 149,195.66

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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.