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Finding the Fourth Proportional to 427,004.60, 640,484.96 and 127,487.66

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Solution

The fourth proportional to 427,004.60, 640,484.96 and 127,487.66 is: 191,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,004.60 : 640,484.96 = 127,487.66 : x
  2. Step 2: Convert to fraction form
    427,004.60/640,484.96 = 127,487.66/x
  3. Step 3: Cross multiply
    427,004.60x = 640,484.96 × 127,487.66
  4. Step 4: Simplify right side
    427,004.60x = 81,653,924,975.73
  5. Step 5: Solve for x
    x = 81,653,924,975.73/427,004.60
  6. Step 6: Final answer
    x = 191,224.93

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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.