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Finding the Fourth Proportional to 565,381.89, 780,194.03 and 310,733.28

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Solution

The fourth proportional to 565,381.89, 780,194.03 and 310,733.28 is: 428,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,381.89 : 780,194.03 = 310,733.28 : x
  2. Step 2: Convert to fraction form
    565,381.89/780,194.03 = 310,733.28/x
  3. Step 3: Cross multiply
    565,381.89x = 780,194.03 × 310,733.28
  4. Step 4: Simplify right side
    565,381.89x = 242,432,248,424.65
  5. Step 5: Solve for x
    x = 242,432,248,424.65/565,381.89
  6. Step 6: Final answer
    x = 428,793.80

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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.