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Finding the Fourth Proportional to 510,189.60, 765,297 and 243,978.24

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Solution

The fourth proportional to 510,189.60, 765,297 and 243,978.24 is: 365,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,189.60 : 765,297 = 243,978.24 : x
  2. Step 2: Convert to fraction form
    510,189.60/765,297 = 243,978.24/x
  3. Step 3: Cross multiply
    510,189.60x = 765,297 × 243,978.24
  4. Step 4: Simplify right side
    510,189.60x = 186,715,815,137.28
  5. Step 5: Solve for x
    x = 186,715,815,137.28/510,189.60
  6. Step 6: Final answer
    x = 365,973.39

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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.