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Finding the Fourth Proportional to 427,173.12, 640,737.48 and 127,656.12

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Solution

The fourth proportional to 427,173.12, 640,737.48 and 127,656.12 is: 191,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,173.12 : 640,737.48 = 127,656.12 : x
  2. Step 2: Convert to fraction form
    427,173.12/640,737.48 = 127,656.12/x
  3. Step 3: Cross multiply
    427,173.12x = 640,737.48 × 127,656.12
  4. Step 4: Simplify right side
    427,173.12x = 81,794,060,635.38
  5. Step 5: Solve for x
    x = 81,794,060,635.38/427,173.12
  6. Step 6: Final answer
    x = 191,477.55

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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.