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Finding the Fourth Proportional to 510,519.34, 765,720.96 and 136,571.50

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Solution

The fourth proportional to 510,519.34, 765,720.96 and 136,571.50 is: 204,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,519.34 : 765,720.96 = 136,571.50 : x
  2. Step 2: Convert to fraction form
    510,519.34/765,720.96 = 136,571.50/x
  3. Step 3: Cross multiply
    510,519.34x = 765,720.96 × 136,571.50
  4. Step 4: Simplify right side
    510,519.34x = 104,575,660,088.64
  5. Step 5: Solve for x
    x = 104,575,660,088.64/510,519.34
  6. Step 6: Final answer
    x = 204,841.72

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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.