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Finding the Fourth Proportional to 565,491, 780,377.58 and 323,853.53

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Solution

The fourth proportional to 565,491, 780,377.58 and 323,853.53 is: 446,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,491 : 780,377.58 = 323,853.53 : x
  2. Step 2: Convert to fraction form
    565,491/780,377.58 = 323,853.53/x
  3. Step 3: Cross multiply
    565,491x = 780,377.58 × 323,853.53
  4. Step 4: Simplify right side
    565,491x = 252,728,030,113.97
  5. Step 5: Solve for x
    x = 252,728,030,113.97/565,491
  6. Step 6: Final answer
    x = 446,917.86

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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.