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Finding the Fourth Proportional to 565,399.62, 780,266.34 and 310,757.58

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Solution

The fourth proportional to 565,399.62, 780,266.34 and 310,757.58 is: 428,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,399.62 : 780,266.34 = 310,757.58 : x
  2. Step 2: Convert to fraction form
    565,399.62/780,266.34 = 310,757.58/x
  3. Step 3: Cross multiply
    565,399.62x = 780,266.34 × 310,757.58
  4. Step 4: Simplify right side
    565,399.62x = 242,473,679,573.86
  5. Step 5: Solve for x
    x = 242,473,679,573.86/565,399.62
  6. Step 6: Final answer
    x = 428,853.63

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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.