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Finding the Fourth Proportional to 427,027.77, 640,541.65 and 174,427.45

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Solution

The fourth proportional to 427,027.77, 640,541.65 and 174,427.45 is: 261,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,027.77 : 640,541.65 = 174,427.45 : x
  2. Step 2: Convert to fraction form
    427,027.77/640,541.65 = 174,427.45/x
  3. Step 3: Cross multiply
    427,027.77x = 640,541.65 × 174,427.45
  4. Step 4: Simplify right side
    427,027.77x = 111,728,043,425.58
  5. Step 5: Solve for x
    x = 111,728,043,425.58/427,027.77
  6. Step 6: Final answer
    x = 261,641.17

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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.