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Finding the Fourth Proportional to 521,114.94, 780,813.81 and 477,536.94

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Solution

The fourth proportional to 521,114.94, 780,813.81 and 477,536.94 is: 715,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,114.94 : 780,813.81 = 477,536.94 : x
  2. Step 2: Convert to fraction form
    521,114.94/780,813.81 = 477,536.94/x
  3. Step 3: Cross multiply
    521,114.94x = 780,813.81 × 477,536.94
  4. Step 4: Simplify right side
    521,114.94x = 372,867,437,537.14
  5. Step 5: Solve for x
    x = 372,867,437,537.14/521,114.94
  6. Step 6: Final answer
    x = 715,518.61

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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.