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Finding the Fourth Proportional to 787,563, 1,086,836.94 and 429,867

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Solution

The fourth proportional to 787,563, 1,086,836.94 and 429,867 is: 593,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,563 : 1,086,836.94 = 429,867 : x
  2. Step 2: Convert to fraction form
    787,563/1,086,836.94 = 429,867/x
  3. Step 3: Cross multiply
    787,563x = 1,086,836.94 × 429,867
  4. Step 4: Simplify right side
    787,563x = 467,195,334,886.98
  5. Step 5: Solve for x
    x = 467,195,334,886.98/787,563
  6. Step 6: Final answer
    x = 593,216.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.