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Finding the Fourth Proportional to 427,691.83, 640,829.34 and 300,711.69

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Solution

The fourth proportional to 427,691.83, 640,829.34 and 300,711.69 is: 450,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,691.83 : 640,829.34 = 300,711.69 : x
  2. Step 2: Convert to fraction form
    427,691.83/640,829.34 = 300,711.69/x
  3. Step 3: Cross multiply
    427,691.83x = 640,829.34 × 300,711.69
  4. Step 4: Simplify right side
    427,691.83x = 192,704,873,832.99
  5. Step 5: Solve for x
    x = 192,704,873,832.99/427,691.83
  6. Step 6: Final answer
    x = 450,569.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.