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Finding the Fourth Proportional to 510,100.20, 765,117.90 and 173,140.20

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Solution

The fourth proportional to 510,100.20, 765,117.90 and 173,140.20 is: 259,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,100.20 : 765,117.90 = 173,140.20 : x
  2. Step 2: Convert to fraction form
    510,100.20/765,117.90 = 173,140.20/x
  3. Step 3: Cross multiply
    510,100.20x = 765,117.90 × 173,140.20
  4. Step 4: Simplify right side
    510,100.20x = 132,472,666,229.58
  5. Step 5: Solve for x
    x = 132,472,666,229.58/510,100.20
  6. Step 6: Final answer
    x = 259,699.30

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1.5x scale

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.