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Finding the Fourth Proportional to 520,596, 718,422.96 and 282,132

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Solution

The fourth proportional to 520,596, 718,422.96 and 282,132 is: 389,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,596 : 718,422.96 = 282,132 : x
  2. Step 2: Convert to fraction form
    520,596/718,422.96 = 282,132/x
  3. Step 3: Cross multiply
    520,596x = 718,422.96 × 282,132
  4. Step 4: Simplify right side
    520,596x = 202,690,106,550.72
  5. Step 5: Solve for x
    x = 202,690,106,550.72/520,596
  6. Step 6: Final answer
    x = 389,342.42

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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.