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Finding the Fourth Proportional to 510,636.38, 765,885.61 and 211,075.39

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Solution

The fourth proportional to 510,636.38, 765,885.61 and 211,075.39 is: 316,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,636.38 : 765,885.61 = 211,075.39 : x
  2. Step 2: Convert to fraction form
    510,636.38/765,885.61 = 211,075.39/x
  3. Step 3: Cross multiply
    510,636.38x = 765,885.61 × 211,075.39
  4. Step 4: Simplify right side
    510,636.38x = 161,659,605,047.34
  5. Step 5: Solve for x
    x = 161,659,605,047.34/510,636.38
  6. Step 6: Final answer
    x = 316,584.59

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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.