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Finding the Fourth Proportional to 520,645.44, 780,968.16 and 271,813.44

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Solution

The fourth proportional to 520,645.44, 780,968.16 and 271,813.44 is: 407,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,645.44 : 780,968.16 = 271,813.44 : x
  2. Step 2: Convert to fraction form
    520,645.44/780,968.16 = 271,813.44/x
  3. Step 3: Cross multiply
    520,645.44x = 780,968.16 × 271,813.44
  4. Step 4: Simplify right side
    520,645.44x = 212,277,642,100.07
  5. Step 5: Solve for x
    x = 212,277,642,100.07/520,645.44
  6. Step 6: Final answer
    x = 407,720.16

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Similar ratio
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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.