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Finding the Fourth Proportional to 510,383, 765,317.10 and 297,219.80

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Solution

The fourth proportional to 510,383, 765,317.10 and 297,219.80 is: 445,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,383 : 765,317.10 = 297,219.80 : x
  2. Step 2: Convert to fraction form
    510,383/765,317.10 = 297,219.80/x
  3. Step 3: Cross multiply
    510,383x = 765,317.10 × 297,219.80
  4. Step 4: Simplify right side
    510,383x = 227,467,395,398.58
  5. Step 5: Solve for x
    x = 227,467,395,398.58/510,383
  6. Step 6: Final answer
    x = 445,679.80

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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.