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Finding the Fourth Proportional to 565,469.86, 780,349 and 310,815.58

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Solution

The fourth proportional to 565,469.86, 780,349 and 310,815.58 is: 428,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,469.86 : 780,349 = 310,815.58 : x
  2. Step 2: Convert to fraction form
    565,469.86/780,349 = 310,815.58/x
  3. Step 3: Cross multiply
    565,469.86x = 780,349 × 310,815.58
  4. Step 4: Simplify right side
    565,469.86x = 242,544,627,037.42
  5. Step 5: Solve for x
    x = 242,544,627,037.42/565,469.86
  6. Step 6: Final answer
    x = 428,925.83

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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.