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Finding the Fourth Proportional to 565,377.98, 780,212.86 and 310,723.70

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Solution

The fourth proportional to 565,377.98, 780,212.86 and 310,723.70 is: 428,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,377.98 : 780,212.86 = 310,723.70 : x
  2. Step 2: Convert to fraction form
    565,377.98/780,212.86 = 310,723.70/x
  3. Step 3: Cross multiply
    565,377.98x = 780,212.86 × 310,723.70
  4. Step 4: Simplify right side
    565,377.98x = 242,430,621,968.91
  5. Step 5: Solve for x
    x = 242,430,621,968.91/565,377.98
  6. Step 6: Final answer
    x = 428,793.89

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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.