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Finding the Fourth Proportional to 565,516.41, 780,392.86 and 310,865.78

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Solution

The fourth proportional to 565,516.41, 780,392.86 and 310,865.78 is: 428,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,516.41 : 780,392.86 = 310,865.78 : x
  2. Step 2: Convert to fraction form
    565,516.41/780,392.86 = 310,865.78/x
  3. Step 3: Cross multiply
    565,516.41x = 780,392.86 × 310,865.78
  4. Step 4: Simplify right side
    565,516.41x = 242,597,435,130.33
  5. Step 5: Solve for x
    x = 242,597,435,130.33/565,516.41
  6. Step 6: Final answer
    x = 428,983.90

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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.