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Finding the Fourth Proportional to 307,486.45, 461,032.09 and 127,695.89

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Solution

The fourth proportional to 307,486.45, 461,032.09 and 127,695.89 is: 191,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,486.45 : 461,032.09 = 127,695.89 : x
  2. Step 2: Convert to fraction form
    307,486.45/461,032.09 = 127,695.89/x
  3. Step 3: Cross multiply
    307,486.45x = 461,032.09 × 127,695.89
  4. Step 4: Simplify right side
    307,486.45x = 58,871,903,051.11
  5. Step 5: Solve for x
    x = 58,871,903,051.11/307,486.45
  6. Step 6: Final answer
    x = 191,461.78

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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.