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Finding the Fourth Proportional to 510,657.40, 765,986.10 and 136,680.40

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Solution

The fourth proportional to 510,657.40, 765,986.10 and 136,680.40 is: 205,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,657.40 : 765,986.10 = 136,680.40 : x
  2. Step 2: Convert to fraction form
    510,657.40/765,986.10 = 136,680.40/x
  3. Step 3: Cross multiply
    510,657.40x = 765,986.10 × 136,680.40
  4. Step 4: Simplify right side
    510,657.40x = 104,695,286,542.44
  5. Step 5: Solve for x
    x = 104,695,286,542.44/510,657.40
  6. Step 6: Final answer
    x = 205,020.60

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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.