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Finding the Fourth Proportional to 510,892.16, 764,967.76 and 285,611.00

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Solution

The fourth proportional to 510,892.16, 764,967.76 and 285,611.00 is: 427,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,892.16 : 764,967.76 = 285,611.00 : x
  2. Step 2: Convert to fraction form
    510,892.16/764,967.76 = 285,611.00/x
  3. Step 3: Cross multiply
    510,892.16x = 764,967.76 × 285,611.00
  4. Step 4: Simplify right side
    510,892.16x = 218,483,203,969.06
  5. Step 5: Solve for x
    x = 218,483,203,969.06/510,892.16
  6. Step 6: Final answer
    x = 427,650.34

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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.