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Finding the Fourth Proportional to 565,093.80, 779,843.88 and 310,451.40

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Solution

The fourth proportional to 565,093.80, 779,843.88 and 310,451.40 is: 428,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,093.80 : 779,843.88 = 310,451.40 : x
  2. Step 2: Convert to fraction form
    565,093.80/779,843.88 = 310,451.40/x
  3. Step 3: Cross multiply
    565,093.80x = 779,843.88 × 310,451.40
  4. Step 4: Simplify right side
    565,093.80x = 242,103,624,327.43
  5. Step 5: Solve for x
    x = 242,103,624,327.43/565,093.80
  6. Step 6: Final answer
    x = 428,430.86

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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.