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Finding the Fourth Proportional to 565,315.28, 780,098.36 and 323,599.76

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Solution

The fourth proportional to 565,315.28, 780,098.36 and 323,599.76 is: 446,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,315.28 : 780,098.36 = 323,599.76 : x
  2. Step 2: Convert to fraction form
    565,315.28/780,098.36 = 323,599.76/x
  3. Step 3: Cross multiply
    565,315.28x = 780,098.36 × 323,599.76
  4. Step 4: Simplify right side
    565,315.28x = 252,439,642,072.39
  5. Step 5: Solve for x
    x = 252,439,642,072.39/565,315.28
  6. Step 6: Final answer
    x = 446,546.65

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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.