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Finding the Fourth Proportional to 427,126.68, 640,681.92 and 127,608.12

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Solution

The fourth proportional to 427,126.68, 640,681.92 and 127,608.12 is: 191,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,126.68 : 640,681.92 = 127,608.12 : x
  2. Step 2: Convert to fraction form
    427,126.68/640,681.92 = 127,608.12/x
  3. Step 3: Cross multiply
    427,126.68x = 640,681.92 × 127,608.12
  4. Step 4: Simplify right side
    427,126.68x = 81,756,215,329.19
  5. Step 5: Solve for x
    x = 81,756,215,329.19/427,126.68
  6. Step 6: Final answer
    x = 191,409.76

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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.