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Finding the Fourth Proportional to 513,670.64, 708,704.78 and 309,783.92

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Solution

The fourth proportional to 513,670.64, 708,704.78 and 309,783.92 is: 427,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,670.64 : 708,704.78 = 309,783.92 : x
  2. Step 2: Convert to fraction form
    513,670.64/708,704.78 = 309,783.92/x
  3. Step 3: Cross multiply
    513,670.64x = 708,704.78 × 309,783.92
  4. Step 4: Simplify right side
    513,670.64x = 219,545,339,778.69
  5. Step 5: Solve for x
    x = 219,545,339,778.69/513,670.64
  6. Step 6: Final answer
    x = 427,404.89

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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.