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Finding the Fourth Proportional to 520,473.26, 718,243.73 and 294,113.90

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Solution

The fourth proportional to 520,473.26, 718,243.73 and 294,113.90 is: 405,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,473.26 : 718,243.73 = 294,113.90 : x
  2. Step 2: Convert to fraction form
    520,473.26/718,243.73 = 294,113.90/x
  3. Step 3: Cross multiply
    520,473.26x = 718,243.73 × 294,113.90
  4. Step 4: Simplify right side
    520,473.26x = 211,245,464,580.85
  5. Step 5: Solve for x
    x = 211,245,464,580.85/520,473.26
  6. Step 6: Final answer
    x = 405,871.89

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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.