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Finding the Fourth Proportional to 510,436, 765,595.67 and 136,488.16

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Solution

The fourth proportional to 510,436, 765,595.67 and 136,488.16 is: 204,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,436 : 765,595.67 = 136,488.16 : x
  2. Step 2: Convert to fraction form
    510,436/765,595.67 = 136,488.16/x
  3. Step 3: Cross multiply
    510,436x = 765,595.67 × 136,488.16
  4. Step 4: Simplify right side
    510,436x = 104,494,744,302.27
  5. Step 5: Solve for x
    x = 104,494,744,302.27/510,436
  6. Step 6: Final answer
    x = 204,716.64

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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.