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Finding the Fourth Proportional to 565,469.76, 780,343.68 and 310,818.24

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Solution

The fourth proportional to 565,469.76, 780,343.68 and 310,818.24 is: 428,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,469.76 : 780,343.68 = 310,818.24 : x
  2. Step 2: Convert to fraction form
    565,469.76/780,343.68 = 310,818.24/x
  3. Step 3: Cross multiply
    565,469.76x = 780,343.68 × 310,818.24
  4. Step 4: Simplify right side
    565,469.76x = 242,545,049,212.72
  5. Step 5: Solve for x
    x = 242,545,049,212.72/565,469.76
  6. Step 6: Final answer
    x = 428,926.65

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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.