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Finding the Fourth Proportional to 521,392.50, 780,352.92 and 394,332.66

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Solution

The fourth proportional to 521,392.50, 780,352.92 and 394,332.66 is: 590,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,392.50 : 780,352.92 = 394,332.66 : x
  2. Step 2: Convert to fraction form
    521,392.50/780,352.92 = 394,332.66/x
  3. Step 3: Cross multiply
    521,392.50x = 780,352.92 × 394,332.66
  4. Step 4: Simplify right side
    521,392.50x = 307,718,642,682.37
  5. Step 5: Solve for x
    x = 307,718,642,682.37/521,392.50
  6. Step 6: Final answer
    x = 590,186.17

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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.