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Finding the Fourth Proportional to 565,106.28, 779,846.94 and 310,473.84

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Solution

The fourth proportional to 565,106.28, 779,846.94 and 310,473.84 is: 428,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,106.28 : 779,846.94 = 310,473.84 : x
  2. Step 2: Convert to fraction form
    565,106.28/779,846.94 = 310,473.84/x
  3. Step 3: Cross multiply
    565,106.28x = 779,846.94 × 310,473.84
  4. Step 4: Simplify right side
    565,106.28x = 242,122,074,074.05
  5. Step 5: Solve for x
    x = 242,122,074,074.05/565,106.28
  6. Step 6: Final answer
    x = 428,454.05

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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.