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Finding the Fourth Proportional to 427,248, 640,880.64 and 131,760

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Solution

The fourth proportional to 427,248, 640,880.64 and 131,760 is: 197,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,248 : 640,880.64 = 131,760 : x
  2. Step 2: Convert to fraction form
    427,248/640,880.64 = 131,760/x
  3. Step 3: Cross multiply
    427,248x = 640,880.64 × 131,760
  4. Step 4: Simplify right side
    427,248x = 84,442,433,126.40
  5. Step 5: Solve for x
    x = 84,442,433,126.40/427,248
  6. Step 6: Final answer
    x = 197,642.66

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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.