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Finding the Fourth Proportional to 565,420.60, 780,286.46 and 307,297.54

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Solution

The fourth proportional to 565,420.60, 780,286.46 and 307,297.54 is: 424,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,420.60 : 780,286.46 = 307,297.54 : x
  2. Step 2: Convert to fraction form
    565,420.60/780,286.46 = 307,297.54/x
  3. Step 3: Cross multiply
    565,420.60x = 780,286.46 × 307,297.54
  4. Step 4: Simplify right side
    565,420.60x = 239,780,109,653.31
  5. Step 5: Solve for x
    x = 239,780,109,653.31/565,420.60
  6. Step 6: Final answer
    x = 424,073.88

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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.