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Finding the Fourth Proportional to 521,101.94, 780,794.31 and 477,523.94

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Solution

The fourth proportional to 521,101.94, 780,794.31 and 477,523.94 is: 715,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,101.94 : 780,794.31 = 477,523.94 : x
  2. Step 2: Convert to fraction form
    521,101.94/780,794.31 = 477,523.94/x
  3. Step 3: Cross multiply
    521,101.94x = 780,794.31 × 477,523.94
  4. Step 4: Simplify right side
    521,101.94x = 372,847,975,240.78
  5. Step 5: Solve for x
    x = 372,847,975,240.78/521,101.94
  6. Step 6: Final answer
    x = 715,499.11

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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.