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Finding the Fourth Proportional to 565,467.86, 780,346.23 and 310,813.58

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Solution

The fourth proportional to 565,467.86, 780,346.23 and 310,813.58 is: 428,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,467.86 : 780,346.23 = 310,813.58 : x
  2. Step 2: Convert to fraction form
    565,467.86/780,346.23 = 310,813.58/x
  3. Step 3: Cross multiply
    565,467.86x = 780,346.23 × 310,813.58
  4. Step 4: Simplify right side
    565,467.86x = 242,542,205,385.80
  5. Step 5: Solve for x
    x = 242,542,205,385.80/565,467.86
  6. Step 6: Final answer
    x = 428,923.06

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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.