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Finding the Fourth Proportional to 427,202.52, 640,901.07 and 227,417.64

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Solution

The fourth proportional to 427,202.52, 640,901.07 and 227,417.64 is: 341,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,202.52 : 640,901.07 = 227,417.64 : x
  2. Step 2: Convert to fraction form
    427,202.52/640,901.07 = 227,417.64/x
  3. Step 3: Cross multiply
    427,202.52x = 640,901.07 × 227,417.64
  4. Step 4: Simplify right side
    427,202.52x = 145,752,208,812.88
  5. Step 5: Solve for x
    x = 145,752,208,812.88/427,202.52
  6. Step 6: Final answer
    x = 341,178.25

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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.