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Finding the Fourth Proportional to 427,282, 640,931.64 and 131,794

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Solution

The fourth proportional to 427,282, 640,931.64 and 131,794 is: 197,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,282 : 640,931.64 = 131,794 : x
  2. Step 2: Convert to fraction form
    427,282/640,931.64 = 131,794/x
  3. Step 3: Cross multiply
    427,282x = 640,931.64 × 131,794
  4. Step 4: Simplify right side
    427,282x = 84,470,944,562.16
  5. Step 5: Solve for x
    x = 84,470,944,562.16/427,282
  6. Step 6: Final answer
    x = 197,693.66

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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.