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Finding the Fourth Proportional to 510,181.60, 765,285 and 243,970.24

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Solution

The fourth proportional to 510,181.60, 765,285 and 243,970.24 is: 365,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,181.60 : 765,285 = 243,970.24 : x
  2. Step 2: Convert to fraction form
    510,181.60/765,285 = 243,970.24/x
  3. Step 3: Cross multiply
    510,181.60x = 765,285 × 243,970.24
  4. Step 4: Simplify right side
    510,181.60x = 186,706,765,118.40
  5. Step 5: Solve for x
    x = 186,706,765,118.40/510,181.60
  6. Step 6: Final answer
    x = 365,961.39

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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.