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Finding the Fourth Proportional to 426,960.72, 640,419.21 and 127,443.78

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Solution

The fourth proportional to 426,960.72, 640,419.21 and 127,443.78 is: 191,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,960.72 : 640,419.21 = 127,443.78 : x
  2. Step 2: Convert to fraction form
    426,960.72/640,419.21 = 127,443.78/x
  3. Step 3: Cross multiply
    426,960.72x = 640,419.21 × 127,443.78
  4. Step 4: Simplify right side
    426,960.72x = 81,617,444,907.01
  5. Step 5: Solve for x
    x = 81,617,444,907.01/426,960.72
  6. Step 6: Final answer
    x = 191,159.14

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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.