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Finding the Fourth Proportional to 520,763.28, 718,643.82 and 294,408.84

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Solution

The fourth proportional to 520,763.28, 718,643.82 and 294,408.84 is: 406,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,763.28 : 718,643.82 = 294,408.84 : x
  2. Step 2: Convert to fraction form
    520,763.28/718,643.82 = 294,408.84/x
  3. Step 3: Cross multiply
    520,763.28x = 718,643.82 × 294,408.84
  4. Step 4: Simplify right side
    520,763.28x = 211,575,093,419.37
  5. Step 5: Solve for x
    x = 211,575,093,419.37/520,763.28
  6. Step 6: Final answer
    x = 406,278.82

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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.